Soliton solutions to a higher order Itô equation: Pfaffian technique
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Publication:601441
DOI10.1016/j.physleta.2006.10.080zbMath1197.35237OpenAlexW2070005489MaRDI QIDQ601441
Publication date: 28 October 2010
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.080
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) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Analytic approximations for the one-loop soliton solution of the Vakhnenko equation ⋮ Analytic study on the higher order Itô equations: new solitary wave solutions using the Exp-function method ⋮ Resonance of solitons in a coupled higher-order Ito equation ⋮ Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations ⋮ Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation ⋮ Stability analysis and limit cycle in fractional system with Brusselator nonlinearities ⋮ New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique ⋮ Soliton solution of a multi-component higher-order Ito equation ⋮ On the integrability of the (1+1)‐dimensional and (2+1)‐dimensional Ito equations
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