FRACTAL AND CHAOTIC PATTERNS OF GENERAL KORTEWEG–DE VRIES SYSTEM IN (2+1)-DIMENSIONS

DOI10.1142/S0217979206035539zbMath1158.35423OpenAlexW2108731036MaRDI QIDQ5898742

Hai-Ping Zhu, Chun-Long Zheng, Jian-Ping Fang

Publication date: 20 March 2007

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979206035539

zbMATH Keywords

exact solutionfractal patternchaotic patternextended projective methodGKdV system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (1)

Comments on ``The generalizing Riccati equation mapping method in nonlinear evolution equation: application to \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation

Cites Work

• Symmetries and exact solutions for a \(2+1\)-dimensional shallow water wave equation
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• Symmetry reductions and exact solutions of shallow water wave equations
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• Solitons with fission and fusion behaviors in a variable coefficient Broer-Kaup system
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• Fractal and Chaotic Solutions of the Discrete Nonlinear Schrödinger Equation in Classical and Quantum Systems
• The relations among a special type of solutions in some (D+1)-dimensional nonlinear equations
• An integrable shallow water equation with peaked solitons
• Compactons: Solitons with finite wavelength
• Localized Coherent Soliton Structures in a Generalized (2+1)-Dimensional Nonlinear Schrödinger System
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

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