Various exact travelling wave solutions for Kundu equation with fifth-order nonlinear term

DOI10.1016/S0034-4877(10)80017-5zbMath1202.35055OpenAlexW2046327714MaRDI QIDQ615188

Huiqun Zhang

Publication date: 5 January 2011

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(10)80017-5

zbMATH Keywords

exact travelling wave solutionsKundu equationsub-equation methods

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (5)

Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm ⋮ Soliton solutions and conservation laws for an inhomogeneous fourth-order nonlinear Schrödinger equation ⋮ Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system ⋮ Analysis of fractional Kundu-Eckhaus and massive Thirring equations using a hybridization scheme ⋮ Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles

Cites Work

• 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation
• The modified extended Fan sub-equation method and its application to the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equation
• Orbital stability of solitary waves for Kundu equation
• A note on some sub-equation methods and new types of exact travelling wave solutions for two nonlinear partial differential equations
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• New exact travelling wave solutions for the Kawahara and modified Kawahara equations
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method

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