Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation

DOI10.1016/j.physd.2008.07.016zbMath1161.35497OpenAlexW2129090615MaRDI QIDQ1000767

Cynthia C. Contreras, John D. Carter

Publication date: 10 February 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2008.07.016

zbMATH Keywords

stabilityplane wavesnonlinear Schrödinger equationdissipativecomplex Ginzburg-Landau equationNLS

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Plane-wave solutions of a dissipative generalization of the vector nonlinear Schrödinger equation, Experimental investigation on the evolution of the modulation instability with dissipation, The effects of wind and nonlinear damping on rogue waves and permanent downshift

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