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非线性发展方程的孤立波解 被引量:2

SOLITARY WAVE SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS
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摘要 用假设法把双曲正切函数法中的双曲正切函数替换成由指数函数组合而成的复合函数,并构造了非线性发展方程的精确孤立波解. In this paper new exact solitary wave solutions of some nonlinear evolution equations are constructed by replacing the hyperbola function with the combinations of the exponential functions.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 2004年第1期6-11,16,共7页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 内蒙古自然科学基金资助项目(20001301) 内蒙古高等学校科学研究资助项目(NJ02035)
关键词 非线性发展方程 孤立波解 指数函数 双曲正切函数 nonlinear evolution equation ansatze method exact solitary wave solutions
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  • 1Ablowitz,M. J. ,Clarkson ,P. A. ,Soliton,Nonlinear Evolution Equations and Inverse Scattering,New York :Cambridge University Press, 1991.
  • 2Olver,P. J. ,Applications of Lie Groups to Differential Equations ,Berlin :Springer, 1986.
  • 3Kraenkel, R. A. , Senthilvelan, M. , Zenchuk, A. I. , Lie symmetry analysis and reductions of a two dimensional integrable generalization of the Camassa-Holm equation, Phys. Lett. A, 2000, 273: 183-193.
  • 4Khater, A. H. , El-Kalauwy, O. H., Two new classes of exact solutions for the KdV equation via Backlund transformation ,Chaos ,Solitons and Fractals, 1997,8:1901-1909.
  • 5Hong,W. P. ,On Baecklund transformation for a generalized Burgers equation and solitonie solutions,Phys. Lett. A,2000,268:81-84.
  • 6Wang,M. L. ,Wang,Y. M. ,A new Baecteklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients, Phys. Lett. A, 2001,287 : 211-216.
  • 7Liu ,S. K. ,Liu ,S. D. ,Nonlinear Equations in Physics ,Beijing : Peking University Press, 2000.
  • 8Wang,M. L. ,Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys. Lett. A, 1996,216: 67-75.
  • 9Fan Engui ,Two new applications of the homogeneous balance method, Phys. Lett. A, 2000,265:353-357.
  • 10Khater, A. H, Malfliet, W. , Callebaut, D. K. , et al. , The tanh method, a simple transformation and exact analytical solutions for nonlinear reaction-diffusion equations, Chaos, Solitons, and Fractals,2002,14 :513-522.

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