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Solitary wave solutions of the generalized shallow water wave (GSWW) equation by Hirota’s method, tanh-coth method and exp-function method. (English) Zbl 1147.65109
Summary: The generalized short wave equation (GSWW) is studied by three distinct methods. The Hirota’s bilinear method is used to derive multiple-soliton solutions for the completely integrable forms of the GSWW equation. The tanh-coth method is used to obtain single-soliton solutions for this equation. The exp-function method is also applied to derive a variety of travelling wave solutions with distinct physical structures for this non-linear evolution equation.

MSC:
65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Software:
HIROTA.MAX; MACSYMA
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References:
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