一类非线性波动方程的孤波解  

Solitary Wave Solutions for a Class of Nonlinear Wave Equations

作　　者：杨洁 肖冰[1] 张宁 YANG Jie;XIAO Bing;ZHANG Ning(School of Mathematics Sciences,Xinjiang Normal University,Urumqi 830017,China)

机构地区：[1]新疆师范大学数学科学学院,乌鲁木齐830017

出　　处：《河南科学》2020年第8期1205-1209,共5页Henan Science

摘　　要：利用首次积分法来求解一类非线性波动方程utt-a1uxx+a2ut+a3u+a4u2+a5u3=0的孤波解.同时,物理学中几个非常重要的非线性数学物理方程,如ϕ4方程、Duffing方程、Sine-Gordon方程的近似方程、Sinh-Gordon方程的近似方程、Landau-Ginzburg-Higgs方程、Klein-Gordon方程以及非线性电报方程等都可以通过该方程来求解出其相应的孤波解.The solitary wave solution of a class of nonlinear wave equations is solved by the first integral method.At the same time,several important nonlinear mathematical physics equations in physics,such as theϕ4 equation,the Duffing equation,the Sine-Gordon equation,the Sinh-Gordon equation,the Landau-Ginzburg-Higgs equation,the Klein-Gordon equation and the nonlinear telegraph equation,can be solved to obtain their solitary wave solutions by this equation.

关 键 词：首次积分法 非线性波动方程 孤波解 数学物理方程 

分 类 号：O175.2[理学—数学]