Topological and non-topological solitons for the generalized Zakharov-Kuznetsov modified equal width equation

DOI10.1007/s10773-009-0060-8zbMath1187.81098OpenAlexW2090880658MaRDI QIDQ735392

Anjan Biswas

Publication date: 21 October 2009

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

Full work available at URL: https://doi.org/10.1007/s10773-009-0060-8

zbMATH Keywords

integrabilitysolitonsintegrals of motion

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (5)

Analytical study of solitons in magneto-electro-elastic circular rod ⋮ Exact solutions and conservation laws of Zakharov-Kuznetsov modified equal width equation with power law nonlinearity ⋮ Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions ⋮ A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism ⋮ The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method

Cites Work

• Solitary wave solutions of the modified equal width wave equation
• A new auxiliary equation and exact travelling wave solutions of nonlinear equations
• Multisymplectic geometry, local conservation laws and a multisymplectic integrator for the Zakharov-Kuznetsov equation
• Higher order approximations in reductive perturbation method: strongly dispersive waves
• A note on the unique continuation property for Zakharov--Kuznetsov equation
• Nonclassical analysis for the Zakharov-Kuznetsov equation
• New exact solutions for the ZK-MEW equation by using symbolic computation
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• Nonlocal well-posedness of the mixed problem for the Zakharov-Kuznetsov equation
• Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods

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