Study of Explicit Analytic Solutions for the Nonlinear Coupled Scalar Field Equations
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摘要: 利用两种不同的变换,获得了一类非线性耦合标量场方程的若干类型的精确解析解,其中包括孤子解、奇性孤波解和三角函数解,从而丰富了方程解的内容。这些结论可以应用于其它的非线性方程。此外还纠正了一些文献的部分结论。
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关键词:
- 非线性耦合标量场方程 /
- 解析解 /
- 孤子解 /
- 周期解
Abstract: By using two different transformations,several types of exact analytic solutions for a class of nonlinear coupled scalar field equation are obtained,which contain soliton solutions,singular solitary wave solutions and triangle function solutions.These results can be applied to other nonlinear equations.In addition,parts of conclusions in some references are corrected. -
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