On long-time behavior of solutions of the Zakharov–Rubenchik/Benney–Roskes system
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Publication:5160608
DOI10.1088/1361-6544/ac288czbMath1478.35194arXiv2102.06926OpenAlexW4287328529MaRDI QIDQ5160608
María E. Martínez, José Manuel Palacios
Publication date: 29 October 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06926
PDEs in connection with fluid mechanics (35Q35) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Hydro- and aero-acoustics (76Q05) Soliton solutions (35C08)
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Cites Work
- Supersonic limit for the Zakharov-Rubenchik system
- Adiabatic limit of the Zakharov-Rubenchik equation
- Well posedness for the 1D Zakharov-Rubenchik system
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- On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
- Stability of the solitons for the one-dimensional Zakharov-Rubenchik equation
- Generation of acoustic fronts by focusing wave packets
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Well-posedness for the Benney-Roskes/Zakharov-Rubenchik system
- Asymptotic stability of solitons of the subcritical gKdV equations revisited
- Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension
- Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
- Wave Instabilities
- Asymptotic stability of solitons for subcritical generalized KdV equations
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