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Exact solutions of various Boussinesq systems

✍ Scribed by M. Chen

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
216 KB
Volume
11
Category
Article
ISSN
0893-9659

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✦ Synopsis

It was shown in [1,2] that surface water waves in a water tunnel can be described by systems of the form

where a, b, c, and d are real constants. In this paper, we show that to find an exact traveling-wave solution of the system, it is suffice to find a solution of an ordinary differential equation, and the solution of the ordinary differential equation in a prescribed form can be found by solving a system of nonlinear algebraic equation. The exact solutions for some of the systems are presented at the end of the paper. (~

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