An auto-Bäcklund transformation and exact solutions of stochastic Wick-type Sawada-Kotera equations

DOI10.1016/j.chaos.2004.04.021zbMath1064.60148OpenAlexW2089429338MaRDI QIDQ1772655

Bin Chen, Yingchao Xie

Publication date: 21 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.04.021

zbMATH Keywords

Hermite transformKondratiev distribution space

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) PDEs with randomness, stochastic partial differential equations (35R60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations ⋮ Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique ⋮ Applications of some transformations for several variable-coefficient nonlinear evolution equations from plasma physics, arterial mechanics, nonlinear optics and Bose-Einstein condensates ⋮ White noise functional solutions of Wick-type stochastic generalized Hirota-Satsuma coupled KdV equations ⋮ Bäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equation ⋮ New solutions for the Wick-type 2-dimensional stochastic compound KdV equations ⋮ Sine-cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation ⋮ Exact solutions of the Wick-type stochastic mKP equation ⋮ Hyperbolic white noise functional solutions of Wick-type stochastic compound KdV-Burgers equations ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids

Cites Work

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• White noise driven Korteweg-de Vries equation
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