Cnoidal wave, snoidal wave, and soliton solutions of the \(D(m,n)\) equation

DOI10.1007/S40065-012-0056-8zbMath1348.37103OpenAlexW2029315273WikidataQ59317599 ScholiaQ59317599MaRDI QIDQ742090

D. Kharzeev

Publication date: 18 September 2014

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-012-0056-8

zbMATH Keywords

solitonsDrinfeld-Sokolov equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (2)

Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach ⋮ The time fractional D(m,n) system: invariant analysis, explicit solution, conservation laws and optical soliton

Cites Work

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• 1-soliton solution of the \(D(m,n)\) equation with generalized evolution
• Bifurcations of travelling wave solutions for the nonlinear dispersion Drinfel'd-Sokolov \((D(m,n))\) system
• An analysis of the symmetries and conservation laws of the class of Zakharov-Kuznetsov equations
• Traveling wave solutions for generalized Drinfeld-Sokolov equations
• The Cole-Hopf transformation and multiple soliton solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation
• Exact and explicit travelling wave solutions for the nonlinear Drinfeld--Sokolov system
• Exact solutions to the combined KdV–mKdV equation by the extended mapping method
• A New Solitary Wave Solution for the New Hamiltonian Amplitude Equation

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