Solitary Wave, Periodic Cusp Wave and Compactons of the (2+1)-Dimensional KP-Like K(m,n) Equation
Journal of Advances in Mathematics and Computer Science · pp. 163–175 · Published 13 Oct 2012
10.9734/BJMCS/2012/1420Abstract
By using the bifurcation theory of dynamical systems to the generalized KP equation, under different parametric conditions, various sufficient conditions to guarantee the existence of the solitary wave solutions, periodic cusp wave solutions and compactons solutions are given. Some exact explicit parametric representations of the above waves are determined.
References (10)
- 1 XLI. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves [DOI]
- 2 Compactons: Solitons with finite wavelength [DOI]
- 3 The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative [DOI]
- 4 Smooth and non-smooth traveling waves in a nonlinearly dispersive equation [DOI]
- 5 On nonanalytic solitary waves formed by a nonlinear dispersion [DOI]
- 6 A Bäcklund transformation in two dimensions [DOI]
- 7 Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems [DOI]
- 8 Bifurcation of travelling wave solutions for the generalized ZK equations [DOI]
- 9 Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa–Holm equation [DOI]
- 10 Bifurcations of travelling wave solutions for the generalized (2+1)-dimensional Boussinesq–Kadomtsev–Petviashvili equation [DOI]
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