非线性Schrdinger及Klein-Gordon方程组和Kdv方程组的一类孤立波解

A TYPE OF SOLITARY WAVE SOLUTIONS OF NONLINEAR SCHRDINGER,KLEIN-GORDON AND Kdv EQUATIONS

本文用推广的Tanh-函数法,即Sechq-Tanhq方法,给出了多分量Schrdinger、Klein-Gordon方程组及Kdv方程的孤立波解,即给出方程(组)的下述形式的孤立波解,φ_n=∑~N_(r=0)a_(n,r)u^r+∑~N_(r=1)b_(n,r)vu^(r-1)其中u=sechq(·),v=tanhq(·).

In order to find solutions to the N-component nonlinear. Schrodinger, Klein-Gordon and Kdv equations,the tanh-method,or the sechq-tanhq method,is generalized and explicit solitary wave solutions are given in the following form： φn=∑Nr=0αn,r^u^r＋∑Nr=1bn,rνu^r-1,where u=sechq（·）,ν=tanhq（·）.