Long time behavior of solutions to the mKdV
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Publication:2810601
DOI10.1080/03605302.2015.1114495zbMath1342.35303arXiv1407.1406OpenAlexW2002707430MaRDI QIDQ2810601
Publication date: 3 June 2016
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.1406
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (21)
The asymptotic stability of solitons for the focusing mKdV equation with weak weighted Sobolev initial data ⋮ Asymptotic stability of solitons for mKdV ⋮ Small data global solutions for the Camassa–Choi equations ⋮ Large time asymptotics of solutions to the short-pulse equation ⋮ Long-time asymptotics of the modified KdV equation in weighted Sobolev spaces ⋮ Dispersive decay of small data solutions for the KdV equation ⋮ Global solutions of quasi-linear Hamiltonian mKdV equation ⋮ On asymptotic stability of multi-solitons for the focusing modified Korteweg-de Vries equation ⋮ Testing by wave packets and modified scattering in nonlinear dispersive pde’s ⋮ On the Long-Time Asymptotic Behavior of the Modified Korteweg--de Vries Equation with Step-like Initial Data ⋮ Soliton resolution for the focusing modified KdV equation ⋮ Breathers and the dynamics of solutions in KdV type equations ⋮ Asymptotics in Fourier space of self-similar solutions to the modified Korteweg-de Vries equation ⋮ The local well-posedness and the weak rotation limit for the cubic Ostrovsky equation ⋮ Modified KdV equation with higher order dispersion terms ⋮ Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities ⋮ Global dynamics of the generalized fifth-order KdV equation with quintic nonlinearity ⋮ Self-similar solutions and critical spaces for the modified Korteweg-de Vries equation ⋮ Long-time behavior of solutions to a fourth-order nonlinear Schrödinger equation with critical nonlinearity ⋮ Self-similar asymptotics for solutions to the intermediate long-wave equation ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations
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