Smooth branch of rarefaction pulses for the nonlinear Schrödinger equation and the Euler-Korteweg system in 2d
DOI10.5802/ahl.178zbMath1527.35268OpenAlexW4387253497MaRDI QIDQ6047219
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Publication date: 9 October 2023
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/ahl.178
travelling wavesnonlinear Schrödinger equationKadomtsev-Petviashvili equationEuler-Korteweg systemlump
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Traveling wave solutions (35C07) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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