Domain wall solutions of KdV like equations with higher order nonlinearity
- 1 January 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (1) , L9-L12
- https://doi.org/10.1088/0305-4470/19/1/003
Abstract
The author considers certain nonlinear partial differential equations which are Korteweg-de Vries (KdV) like equations with higher order nonlinearity. It is shown that these have kink (domain wall) solutions for particular values of the coefficients of the nonlinear terms. The solutions are compared with the standard known solution of the lambda phi 2n field theories. Some conservation laws for these systems of equations are also given.Keywords
This publication has 2 references indexed in Scilit:
- Static finite energy solutions of a classical field theory with positive mass-squareLetters in Mathematical Physics, 1979
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of MotionJournal of Mathematical Physics, 1968