On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transonic behavior

DOI10.1016/S0252-9602(11)60405-0zbMath1265.35226arXiv1111.1036OpenAlexW2964017873MaRDI QIDQ453405

Benson K. Muite, Peter D. Miller, Jeffery C. DiFranco

Publication date: 5 October 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1036

zbMATH Keywords

focusingmodulational instabilitydefocusingdispersionless limitsmodified nonlinear Schrödinger equationssemiclassical limits

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) PDEs of mixed type (35M10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)

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