Exact solutions of nonlinear generalizations of the Klein Gordon and Schrodinger equations

Journal Article · Tue Oct 31 23:00:00 EST 1978 · J. Math. Anal. Appl.; (United States)

DOI:https://doi.org/10.1016/0022-247X(78)90273-1· OSTI ID:6090275

Burt, P B

Exact solutions of sine Gordon and multiple sine Gordon equations are constructed in terms of solutions of a linear base equation, the Klein Gordon equation and also in terms of nonlinear base equations where the nonlinearity is polynomial in the dependent variable. Further, exact solutions of nonlinear generalizations of the Schrodinger equation and of additional nonlinear generalizations of the Klein Gordon equation are constructed in terms of solutions of linear base equations. Finally, solutions with spherical symmetry, of nonlinear Klein Gordon equations are given. 14 references.

• Research Organization: Clemson Univ., SC
• OSTI ID: 6090275
• Journal Information: J. Math. Anal. Appl.; (United States), Journal Name: J. Math. Anal. Appl.; (United States) Vol. 66:1; ISSN JMANA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
KLEIN-GORDON EQUATION
NONLINEAR PROBLEMS
POLYNOMIALS
SCHROEDINGER EQUATION
SINE-GORDON EQUATION
SPHERICAL CONFIGURATION
WAVE EQUATIONS