Asymptotics for the modified Whitham equation

DOI10.3934/cpaa.2018069zbMath1397.35210OpenAlexW2796157349MaRDI QIDQ1659603

Pavel I. Naumkin, Nakao Hayashi, Isahi Sánchez-Suárez

Publication date: 22 August 2018

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2018069

zbMATH Keywords

asymptotics of solutionsmodified Whitham equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Internal waves for incompressible inviscid fluids (76B55)

Related Items (2)

Modified scattering for the higher-order KdV-BBM equations ⋮ Final state problem for class of nonlinear nonlocal dispersive equation

Cites Work

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• Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case
• Factorization technique for the fourth-order nonlinear Schrödinger equation
• Analysis I. Integral presentations asymptotic methods
• Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case
• Asymptotics for the third-order nonlinear Schrödinger equation in the critical case
• Variational Methods and Applications to Water Waves
• Nonlinear Kelvin and continental-shelf waves

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