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 g
Bäcklund transformation and soliton solutions for the shallow water waves equation
✍ Scribed by Yi Zhang; Deng Yuan Chen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 293 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0960-0779
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✦ Synopsis
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 discussed.
📜 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