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| The solution of soliton to generalized higher dimensions Klein-Gordon forced disturbed equation |
| HAN Xiang-lin, WANG Wei-gang, MO Jia-qi |
1. Qiuzhen School, Huzhou Teachers College, Huzhou 313000, China;
2. Department of Basic, Hefei Preschool Education College, Hefei 230011, China;
3. School of Mathematics & Statistics Science,Anhui Normal University, Wuhu 241003, China |
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Abstract A class of nonlinear generalized forced disturbed Klein-Gordon equation is considered by
using the homotopic mapping method. Firstly, an approximate solution of soliton to typical
nonlinear equation is solved using the method of undetermined coe±cients for the hyperbolic tangent
functions. Then, the approximate solution of soliton to nonlinear forced disturbed equation is obtained
using the homotopic mapping principle. Finally, it is point out that the approximate solution of soliton
is an analytic expression, so we can carry on analytic operation to it. But these can not obtain for the
simple simulate method.
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Published: 05 July 2019
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广义高维Klein-Gordon强迫扰动方程的孤子解
利用同伦映射方法研究了一类非线性广义强迫扰动Klein-Gordon方程. 首先
利用双曲正切待定系数法求得了无扰动项典型方程的孤子解. 然后利用同伦映射原理
得到了强迫扰动Klein-Gordon方程的任意次近似孤子解. 最后叙述了得到的近似孤子
解是一个解析展开式, 还能对它进行解析运算. 这对使用简单的模拟方法得到的近似
解是达不到的.
关键词：
孤子,
非线性,
Klein-Gordon方程
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