Effects of nonlinearity and substrate's deformability on modulation instability in NKG equation

DOI10.1016/J.CNSNS.2017.03.008zbMath1468.74029OpenAlexW2592286360MaRDI QIDQ2007383

Etienne Wamba, Aurelien Serge Tchakoutio-Nguetcho

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.03.008

zbMATH Keywords

modulational instabilityenergy localizationextended nonlinear Schrödinger equationinstability domaindeformable latticesemi-discrete numerical approximation

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Nonlinear waves in solid mechanics (74J30) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with mechanics of deformable solids (35Q74)

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Cites Work

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• Bifurcations of phase portraits of a singular nonlinear equation of the second class
• Nonlinear dynamics and statistical physics of DNA

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