Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations
✍ Scribed by Yong Chen; Biao Li; Hongqing Zhang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 103 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0960-0779
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## Abstract In this paper, the method of deriving the Bäcklund transformation from the Riccati form of inverse method is presented for the perturbed nonlinear Schrödinger equation (PNSE). Consequently, the exact solutions for the PNSE can be obtained by the AKNS class. The technique developed relie
The general form of the Ba Ãcklund transformations "BTs# for some nonlinear evolution equations "NLEEs# solvable by the inverse scattering method of Zakharov!Shabat:Ablowitz!Kaup!Newell!Segur "ZS:AKNS# and the ZS:AKNS wave functions corresponding to the soliton solutions of these NLEEs are considere
The extended homogeneous balance method The extended hyperbolic function method a b s t r a c t The Bäcklund transformations and abundant explicit exact solutions to the AKNS shallow water wave equation are obtained by combining the extended homogeneous balance method with the extended hyperbolic f