Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation

DOI10.1016/j.amc.2010.10.021zbMath1211.35255OpenAlexW2031865516MaRDI QIDQ620978

Pan Wang, Kun Sun, Wen-Jun Liu, Qi-Xing Qu, Bo Tian, Min Li, Yan Jiang

Publication date: 2 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.021

zbMATH Keywords

symbolic computationBäcklund transformationsoliton solutionHirota methodcomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

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) Ginzburg-Landau equations (35Q56)

Related Items (5)

Effect of near  -symmetric potentials on nonlinear modes for higher-order generalized Ginzburg–Landau model ⋮ Dynamic behavior and stability analysis of nonlinear modes in the fourth-order generalized Ginzburg-Landau model with near \(\mathcal{PT}\)-symmetric potentials ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Research on lane change prediction model based on GBDT

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