A new bilinear B€ a acklund transformation is presented for the shallow water waves equation. Starting from the new B€ a acklund transformation, a wide variety of novel soliton solutions of the shallow water waves equation are generated. Moreover, the relationship between these solutions has been di
Bäcklund transformation and soliton solutions for the coupled dispersionless equations
✍ Scribed by T. Alagesan; Y. Chung; K. Nakkeeran
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 250 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
The Painlev e test is employed to predict the integrability properties of the coupled dispersionless system equations. From the analysis, it is shown that these systems admit the Painlev e property and possess Hirota bilinear form. The one-soliton solutions of the coupled dispersionless system are generated through B€ acklund transformation using the linear eigenvalue problem.
📜 SIMILAR VOLUMES
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