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Matjila, Catherine; Muatjetjeja, Ben; Khalique, Chaudry Masood

Exact solutions and conservation laws of the Drinfel’d-Sokolov-Wilson system. (English) Zbl 1472.35306

Abstr. Appl. Anal. 2014, Article ID 271960, 6 p. (2014).
Summary: We study the Drinfel’d-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the \((G' / G)\)-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether’s approach.

Cited in 2 Documents

MSC:

35Q35 PDEs in connection with fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B25 Solitary waves for incompressible inviscid fluids
35A30 Geometric theory, characteristics, transformations in context of PDEs

Keywords:

Drinfel’d-Sokolov-Wilson system; water waves
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References:

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