Exact solutions of the one-dimensional modified complex Ginzburg--Landau equation.

DOI10.1016/S0960-0779(02)00117-0zbMath1038.35130OpenAlexW2146508687MaRDI QIDQ1419109

Emmanuel Yomba, Timoléon Créprin Kofané

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00117-0

zbMATH Keywords

Painlevé testHirota's bilinear formalismdegeneracies

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (3)

Modulational instability in linearly coupled complex cubic-quintic Ginzburg-Landau equations ⋮ On nonstandard chemotactic dynamics with logistic growth induced by a modified complex Ginzburg–Landau equation ⋮ Solitary wave solutions and modulational instability in a system of coupled complex Newell-Segel-Whitehead equations

Cites Work

• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation
• On exact solutions of modified complex Ginzburg-Landau equation
• Solutions of the Lowest Order Complex Ginzburg-Landau Equation
• The Painlevé Property and Hirota's Method
• Nonlinear Schrödinger equation including growth and damping
• An exact solution of a generalized nonlinear Schrödinger equation
• On Exact Solutions of the Generalized Modified Ginzburg-Landau Equation Using Hirota S Method
• Pattern formation outside of equilibrium
• On the nonlinear response of a marginally unstable plane parallel flow to a two-dimensional disturbance
• Hole solutions in the 1D complex Ginzburg-Landau equation

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