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研究了一个广义非线性Boussinesq方程. 利用同伦映射方法，首先构造了相应的同伦变换；其次选取了适当的初始近似；然后用同伦映射方法得到了孤立子波近似解；最后得到了微扰渐近表示式.
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关键词:
- Boussinesq方程 /
- 非线性 /
- 孤立子 /
- 近似方法
The generalized nonlinear Boussinesq equation is studied. Using the homotopic mapping perturbation method，firstly，the corresponding homotopic mapping transform is constructed；secondly，the suitable initial approximation is selected；and then by using the homotopic mapping，the approximate solution for the solitary wave is obtained. Finally，the small perturbation asymptotic expansions are obtained.-
Keywords:
- Boussinesq equation /
- nonlinear /
- soliton /
- approximate method
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