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LamDe' function and perturbation method to nonlinear evolution equations

Liu Shi-Kuo Fu Zun-Tao Liu Shi-Da Wang Zhang-Gui

LamDe' function and perturbation method to nonlinear evolution equations

Liu Shi-Kuo, Fu Zun-Tao, Liu Shi-Da, Wang Zhang-Gui
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  • Received Date:  06 November 2002
  • Accepted Date:  22 December 2002
  • Published Online:  20 August 2003

LamDe' function and perturbation method to nonlinear evolution equations

  • 1. (1)北京大学物理学院,北京 100871; (2)国家海洋局海洋环境预报中心,北京 100081

Abstract: The perturbation method is applied to the multi-order exact solutions of nonline ar evolution equations. The exact solutions to the zeroth-order equation can be derived by Jacobi elliptic function expansion method, and then the first-order a nd the second-order equations can be rewritten as the homogeneous Lam equa tion and inhomogeneous Lam equation, respectively. They can be solved by using Lam functions and the Jacobi elliptic function expansion method. Thus, the mu lti-order solutions are obtained to the nonlinear evolution equations.

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