Complex wave excitations and chaotic patterns for a general (2+1)-dimensional Korteweg–de Vries system
Authors:
- 1 August 2008
- journal article
- general
- Published by IOP Publishing in Chinese Physics B
- Vol. 17 (8) , 2767-2773
Abstract
Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for a general (2+1)-dimensional Korteweg de Vries system (GKdV) is derived. According to the derived solutions, we obtain some novel dromion-lattice solitons, complex wave excitations and chaotic patterns for the GKdV system.Keywords
This publication has 27 references indexed in Scilit:
- Annihilation Solitons and Chaotic Solitons for the (2+1)-Dimensional Breaking Soliton SystemCommunications in Theoretical Physics, 2007
- New Family of Exact Solutions and Chaotic Soltions of Generalized Breor–Kaup System in (2+1)-Dimensions via an Extended Mapping ApproachCommunications in Theoretical Physics, 2005
- Evolution property of soliton solutions for the Whitham-Broer-Kaup equation and variant Boussinesq equationChinese Physics, 2003
- Painlevé integrability and multi-dromion solutions of the 2+1 dimensional AKNS systemThe European Physical Journal B, 2001
- Revisitation of the localized excitations of the (2+1)-dimensional KdV equationJournal of Physics A: General Physics, 2001
- Optical Spatial Solitons and Their Interactions: Universality and DiversityScience, 1999
- Infinitely many Lax pairs and symmetry constraints of the KP equationJournal of Mathematical Physics, 1997
- Critical Velocities in Exciton SuperfluidityPhysical Review Letters, 1997
- Optical Solitary Waves in the Higher Order Nonlinear Schrödinger EquationPhysical Review Letters, 1997
- Symmetry reductions and exact solutions of shallow water wave equationsActa Applicandae Mathematicae, 1995