First integral method;
New Hamiltonian amplitude equation;
Coupled Higgs field equation;
TRAVELING-WAVE SOLUTIONS;
SINE-COSINE METHOD;
HAMILTONIAN AMPLITUDE EQUATION;
TANH-FUNCTION METHOD;
DE-VRIES EQUATION;
NONCOMPACT STRUCTURES;
EVOLUTION-EQUATIONS;
PERIODIC-SOLUTIONS;
KDV EQUATION;
SOLITONS;
D O I:
10.1016/j.cam.2011.02.021
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper, the first integral method is used to construct exact solutions of the Hamiltonian amplitude equation and coupled Higgs field equation. The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.