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调整的广义Vakhnenko方程周期孤立波解和双孤子解

Periodic solitary wave solutions and double-soliton solutions for modified generalized Vakhnenko equation
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摘要 应用Hirota方法及双孤子方法,对调整的广义Vakhnenko方程求解其单孤子解,双孤子解,周期孤立波解并对解进行讨论。 Periodic solitary wave solutions and double-soliton solutions for the modified generalized Vakhnenko equation is obtained by using Horita method and double-soliton method.
出处 《广西工学院学报》 CAS 2008年第3期80-83,共4页 Journal of Guangxi University of Technology
基金 桂科自(0832065)资助
关键词 HIROTA方法 双孤子方法 周期孤立波解 Hirota method double-soliton method periodic solitary wave solutions
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参考文献4

  • 1Wang. M. L, Wang. Y. M, Zhou. Y.B. An auto- Backlund transformation and exact mlutions to a generailzed KdV equation with variable coefficients and their appilcations[J]. Phys. Lett A, 2002,303( 1 ) :45 - 51.
  • 2Wang. M. L. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics[J].Phys. Lett. A, 1996, 216(1-5): 67-75.
  • 3V.O. Vakhnenko,E.J. Parkes,A.J. Morrison, A Backlund transformation and the inverse scattering transform method for the generalised Vakhnenko equation[J].Chaos, Solitons and Fraetals 17 (2003) : 683-692.
  • 4A.J. Morrison, E.J. Parkes. The N-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation) [J]. Chaos, Solitons and Fractals 16 (2003) : 13- 26

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