FINITE SYMMETRY GROUP AND COHERENT SOLITON SOLUTIONS FOR THE BROER–KAUP–KUPERSHMIDT SYSTEM

DOI10.1142/S0218127413501563zbMath1277.35108OpenAlexW1992640515MaRDI QIDQ2866057

Jun Yu, Hanwei Hu

Publication date: 13 December 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413501563

zbMATH Keywords

symmetry groupBroer-Kaup-Kupershmidt systemcoherent soliton solution

Mathematics Subject Classification ID

Soliton equations (35Q51) Traveling wave solutions (35C07) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Finite symmetry transformation groups and exact solutions of Lax integrable systems
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• New similarity reductions of the Boussinesq equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method
• BIFURCATIONS AND EXACT TRAVELING WAVE SOLUTIONS OF THE GENERALIZED TWO-COMPONENT CAMASSA–HOLM EQUATION
• Rich Localized Coherent Structures of the (2+1)-Dimensional BKK Equation

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