Department Publications

2010s

2015

67. Book Review: The Hillary Doctrine

    B. Kent Harrison

    SquareTwo , (2015).
    
68. The Decision to Drop the Bomb: Personal Observations, Studies, and Reflections

    B. Kent Harrison

    SquareTwo 8 (2), (2015).
    
69. Book Review: Even Unto Bloodshed: An LDS Perspective on War, by Duane Boyce

    B. Kent Harrison

    SquareTwo 8 (2), (2015).
    

2012

64. Physical Science Foundations

    Scott Bergeson, Juliana Boerio-Goates, Michael D. Joner, Bart J. Kowalis, M. Jeanette Lawler, J. Ward Moody, … R. Steven Turley, Eric Hirschmann, and B. Kent Harrison (2 other authors)

    BYU Academic Publishing; 4th edition (2012)
    

2010

63. Bäcklund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang-Mills Equation

    C. J. Papachristou and B. Kent Harrison

    J. Nonlinear Math. Phys. 17 (1), 35-49 (2010).
    

2000s

2008

62. A Method for Constructing a Lax Pair for the Ernst Equation

    C. J. Papachristou and B. Kent Harrison

    arXiv:0805.1312
    

2005

61. The Differential Form Method for Finding Symmetries

    B. Kent Harrison

    Symmetry Integr. Geom. 1, 001 (2005).
    

2004

60. Applications of Symmetry to General Relativity

    B. Kent Harrison

    Institute of Mathematics of NAS of Ukraine, Proceedings of the Fifth International Conference on Symmetry in Nonlinear Mathematical Physics (Kiev, Ukraine, June 2003), 50, pp. 131-141.
    

2002

59. Astronomy and Cosmology in Mormon Scripture and Thought

    B. Kent Harrison and Eric W. Hirschmann

    Mormon Historical Society (Phoenix, AZ May 2002)
    
60. An Old Problem Newly Treated with Differential Forms: When and How Can the Equation y″= f (x, y, y′) Be Linearized?

    B. Kent Harrison

    Proceedings of Institute of Mathematics of NAS of Ukraine, 43, 27-35 (2002).
    

2000

57. Awareness of Abuse in the Family; Preventing and Healing from Abuse

    B. Kent Harrison

    chapters 19-20 in Strengthening Our Families: An In-Depth Look at the Proclamation on the Family, David Dollahite ed., (Bookcraft, July 2000).
    
58. Use of Symmetry Principles and Other Methods in Finding Solutions of Nonlinear Differential Equations Including Those of General Relativity

    B. K. Harrsion

    International European Conference on Gravitation (Weimar, Germany, September 1999). Ann. Phys. 9 (Special Issue), SI 67-70 (2000).
    
59. Matrix Methods of Searching for Lax Pairs and a Paper by Estevez

    B. Kent Harrison

    Third International Conference on Symmetry in Nonlinear Mathematical Physics, Proc. Institute of Mathematics of NAS of Ukraine, 30, 17-24 (2000).
    

1990s

1999

54. Review of Differential Form Method for Finding Classical and Nonclassical Symmetries of Differential Equations with Applications

    B. Kent Harrison

    in Modern Group Analysis VII, eds. N. H. Ibragimov, K. Razi Naqvi, E. Straume (Mathematics and Related Sciences (MARS) Publishers, Trondheim, Norway, 1999).

1998

53. Truth, the Sum of Existence

    B. Kent Harrison

    in Of Heaven and Earth: Reconciling Scietific THought with LDS Theology, ed. David L. Clark (Deseret, Salt Lake City), pp. 149-180.
    
54. Differential Form Approach to Identifying Invariance Groups and Special Solution Sets of Partial Differential Equations

    David V. Arnold and B. K. Harrison

    Fourth International Workshop on Electric and Magnetic Fields, (Marseilles, France, May 1998) pp. 319-324.
    
55. Ideas and Experiments in Physical Science

    B. Kent Harrison

    Kendall/Hunt publishing (1998)
    

1997

50. Differential Form Symmetry Analysis of Two Equations Cited by Fushchych

    B. Kent Harrison

    Second International Conference, Symmetry in Nonlinear Mathematical Physics, Vol I (Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev, 1997) 21-33.  See also Kent Harrison, Remarks for Closing Ceremony, Vol. 2, 499
    
51. Remarks on Integrability Conditions and Backlund Transformations for Vacuum Einstein Equations

    B. K. Harrison

    Modern Group Analysis VI, edited by N. H. Ibragimov and F. M. Mahomed (New Age International, New Delhi, 1997), 271-280.
    
52. Differential Form Symmetry Analysis of Two Equations Cited by Fushchych

    B. K. Harrison

    Second International Conference, Symmetry in Nonlinear Mathematical Physics (Kyiv, Ukraine, July 1997). Acta Univ. Upsaliensis 1, 21-33 (1997).
    

1996

47. Feminism in the Light of the Gospel of Jesus Christ

    B. Kent Harrison and Mary S. Richards

    BYU Studies 36 (2), 181-199 (1996).
    

1995

46. On Methods of Finding Bäcklund Transformations in Systems with More than Two Independent Variables

    B. Kent Harrison

    J. Nonlinear Math. Phys. 246 (3-4), 201-215 (1995).
    

1994

45. Lax pair, conserved-currents, and hidden symmetry transformation for the ernst equation

    C. J. Papachristou and B. Kent Harrison

    Phys. Lett. A 190 (5-6), 407-411 (1994).
    

1993

44. Application of Wahlquist-Estabrook method to relativity vacuum equations with one Killing vector

    B. Kent Harrison

    El Escorial Summer School on Gravitation and General Relativity 1992: Rotating Objects and Other Topics (El Escorial, Spain, August 1992). Lecture Notes in Phys. 423, 203-212 (1993).
    
45. Confronting Abuse: An LDS Perspective on Understanding and Healing Emotional, Physical, Sexual, Psychological, and Spiritual Abuse

    Anne L. Horton, B. Kent Harrison, and Barry L. Johnson

    Deseret Book
    

1992

42. Fusion Feudists

    J. B. Czirr, B. K. Harrison, G. L. Jensen, and S. E. Jones

    American Scientist 80 (2), 107-108 (1992).
    

1990

41. Good Jellyroll, Fauna

    Larry Hiller and B. Kent Harrison

    The New Era, volume 20, no. 1 (January 1990), pp. 34-38.
    

1980s

1989

40. Cold PR

    B. Kent Harrison

    Scientist 3 (23), 15-15 (1989).
    
41. Exterior Differential Systems

    B. Kent Harrison

    Section in Analysis, Manifolds and PHysics, Part II, by Y. Choquet-Bruhat and C. DeWitt-Morette (North-Holland, Amsterdam, 1989) pp. 173-181.
    
42. Search for Prolongation Structure for Einstein Vacuum Equations with One Killing Vector

    B. Kent Harrison

    The Fifth Marcel Grossmann Meeting on General Relativity, (Perth, Australia, August 1998), pp. 511-514.
    
43. Local currents for the GL(N, C) self-dual Yang-Mills equation

    C. J. Papachristou^† and B. Kent Harrison

    Lett. Math. Phys. 17 (4), 285-288 (1989).
    

1988

36. Bäcklund transformations and local conservation laws for self-dual Yang-Mills fields with arbitrary gauge group

    C. J. Papachristou^† and B.Kent Harrison

    Phys. Lett. A 127 (3), 167-170 (1988).
    
37. Isogroups of differential ideals of vector-valued differential forms: Application to partial differential equations

    C. J. Papachristou^† and B. Kent Harrison

    Acta Appl. Math. 11 (2), 155-175 (1988).
    
38. Nonlocal symmetries and Bäcklund transformations for the self‐dual Yang–Mills system

    C. J. Papachristou^† and B. Kent Harrison

    J. Math. Phys. 29 (1), 238-243 (1988).
    

1987

33. Some aspects of the isogroup of the self-dual yang-mills system

    C. J. Papachristou^† and B. Kent Harrison

    J. Math. Phys. 28 (6), 1261-1264 (1987).
    
34. Symmetry Groups of Partial Differential Equations Associated with Vector-Valued Differential Forms

    Costas J. Papachrisou^† and B. Kent Harrison

    Proceedings of the XV International Colloquium on Group Theoretical Methods in Physics, R. Gilmore, ed. (World Scientific, Singapore, 1987) pp. 440-445.
    

1986

31. Integrable Systems for Einstein Vacuum Equations

    B. Kent Harrison

    The Fourth Marcel Grossmann Meeting on General Relativity, (Rome, Italy, 1985), pp. 949-955.
    
32. Integrable Systems in General Relativity

    B. Kent Harrison

    Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Lectures in Applied Mathematics 23 (American Mathematical Society, Providence, 1986) pp. 123-147.
    

1985

29. Bäcklund transformations for nonlinear field equations

    B. Kent Harrison

    Lecture Notes in Phys. 226, 45-56 (1985).
    

1984

28. Prolongation structures and differential forms

    B. Kent Harrison

    Solutions of Einstein's Equations: Techniques and Results, Proc. International Seminar on Exact Solutions of Einstein's Equations, Retzbach, Germany, Nov. 1983. Lecture Notes in Phys. 205, 26-54 (1984).
    

1983

27. Ernst Equation Bäcklund Transformations Revisited: New Approaches and Results

    B. Kent Harrison

    The Third Marcel Grossmann Meeting on General Relativity, (Shanghai, China, September 1982), pp. 29-39.
    
28. Unification of Ernst‐equation Bäcklund transformations using a modified Wahlquist–Estabrook technique

    B. Kent Harrison

    J. Math. Phys. 24 (8), 2178-2187 (1983).
    

1982

25. Study of the Ernst Equation Using a Bäcklund Transformation

    B. Kent Harrison

    The Second Marcel Grossmann Meeting on General Relativity, (Trieste, Italy, July 1979), pp. 341-352.

1980

24. Search for Inverse Scattering Formulation of Einstein's Vacuum Equations with one Nonnull Killing Vector

    B. Kent Harrison

    Ninth International Conference on General Relativity and Gravitation (Jena, East Germany, July 1980).
    
25. New large family of vacuum solutions of the equations of general-relativity

    B. Kent Harrison

    Phys. Rev. D 21 (6), 1695-1697 (1980).
    

1970s

1978

22. Bäcklund Transformation for the Ernst Equation of General Relativity

    B. Kent Harrison

    Phys. Rev. Lett. 41 (18), 1197-1200 (1978).
    

1977

21. Using Group Theory to Solve Certain Equations Arising in General Relativity

    B. Kent Harrison and James L. Stevens^‡

    J. Utah Acad. Sci. 55, 73-76 (1977).
    
22. Piecewise analysis of large linear systems: Kron's method and sparse matrix procedures

    B. Kent Harrison

    Seminar on Differential and Algebraic Geometry for Control Engineers (Moffett Field, CA, June 1976). pp. 455-481.
    

1973

19. The Topolotron, A Device for the Magnetic Confinement of Plasmas

    J. H. Gardner, R. W. Bass, L. Fearnley, H. R. P. Ferguson, B. K. Harrison, K. M. Larsen, and H. M. Nelson

    J. Utah Acad. Sci. 50 (2), 1-11 (1973).
    
20. The Uniqueness of the Topolotron Design Relative to Structural Stability

    B. K. Harrison, R. W. Bass, L. Fearnley, H. R. P. Ferguson, J. H. Gardner, K. M. Larsen, and H. M. Nelson

    J. Utah Acad. Sci. 50 (2), 19-26 (1973).
    
21. Numerical Methods of Solving Stokes' Equation, with Application to the Topolotron

    H. R. P. Ferguson, R. W. Bass, L. Fearnley, H. J. Fletcher, J. H. Gardner, B. K. Harrison, … L. Knight, H. M. Nelson, D. E. Nielsen^‡, … (2 other authors)

    J. Utah Acad. Sci. 50 (2), 27-42 (1973).
    
22. Global Characteristics of the Vector Field of the Topolotron

    K. M. Larsen, R. W. Bass, L. Fearnley, H. R. P. Ferguson, J. H. Gardner, B. K. Harrison, and H. M. Nelson

    J. Utah Acad. Sci. 50 (2), 43-46 (1973).
    
23. Topological Global Stability of the Topolotron

    L. Fearnley, R. W. Bass, H. R. P. Ferguson, J. H. Gardner, B. K. Harrison, K. M. Larsen, and H. M. Nelson

    J. Utah Acad. Sci. 50 (2), 12-18 (1973).
    
24. Physical Realizability of the Topolotron Configuration

    H. M. Nelson, R. W. Bass, L. Fearnley, H. R. P. Ferguson, J. H. Gardner, B. K. Harrison, … D. E. Nielson^‡, G. Cook^†, L. Scott^‡, … (3 other authors)

    J. Utah Acad. Sci. 50 (2), 47-57 (1973).
    
25. Remarks on the Problem of Two Neighboring Black Holes

    B. Kent Harrison

    J. Utah Acad. Sci. 50 (1), 67-74 (1973).
    

1971

12. Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

    B. Kent Harrsion and Frank B. Estabrook

    J. Math. Phys. 12 (4), 653-665 (1971).
    

1970

11. Simplified Equations for Relativistic Rotating Perfect Fluids with Axial Symmetry

    B. K. Harrsion

    Phys. Rev. D 1 (8), 2269-2271 (1970).
    
12. Gage Transformations of the Second Post-Newtonian Equations of Hydrodynamics in General Relativity

    F. B. Estabrook, B. Kent Harrison, and H. D. Wahlquist

    JPL Space Programs Summary 37-61, Vol III, 13-15 (1970)
    

1960s

1969

9. Large Scale Linear Systems

   B. Kent Harrsion

   Chapter 7, "Large Scale Linear Systems" in System Theory, Ed. by L. A. Zadeh and E. Polak, McGraw-Hill, New York, (1969).
10. Debever Vectors in Dyadic Notation

    B. Kent Harrison

    JPL Space Programs Summary 37-54, Vol. III, 162-164 (1969).
    

1968

7. New Solutions of the Einstein‐Maxwell Equations from Old

   B. Kent Harrsion

   J. Math. Phys. 9 (11), 1744-1752 (1968).
   

1965

6. Electromagnetic Solutions of the Field Equations of General Relativity

   B. Kent Harrsion

   Phys. Rev. 138 (2B), B488-B494 (1965).
   
7. Asymptotic Behavior of Cold Superdense Stars

   B. Kent Harrsion

   Phys. Rev. 137 (6B), B1644-B1652 (1965).
   
8. Gravitation Theory and Gravitational Collapse

   B. Kent Harrsion, Kip S. Thorne, Masami Wakano, and John Wheeler

   "Gravitation Theory and Gravitational Collapse" Harrison, B. K.; Thorne, K. S.; Wakano, M.; Wheeler, J. A. Gravitation Theory and Gravitational Collapse, Chicago: University of Chicago Press, 1965
   

1963

3. A Discussion of Some Mathematical Techniques Used in Kron's Method of Tearing

   B. K. Harrsion

   J. Soc. Indust. Appl. Math. 11 (2), 258-280 (1963).
   

1950s

1959

2. Exact Three-Variable Solutions of the Field Equations of General Relativity

   B. Kent Harrsion

   Phys. Rev. 116 (5), 1285-1296 (1959).
   

1958

1. Some Implications of General Relativity for the Structure and Evolution of the Universe

   J. Barclay Adams, B. Kent Harrison, Louis T. Klauder, Jr., Raymond Mjolsness, Masami Wakano, John A. Wheeler, and Raymond Willey

   Proceedings of the Ninth Solvay Conference, pp. 1-52 (Brussels, 1958).
   

^‡Undergraduate Student Author

^†Graduate Student Author