On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions

From MaRDI portal
Publication:2136554

DOI10.1016/j.aim.2022.108340zbMath1491.35396OpenAlexW4220668830MaRDI QIDQ2136554

Yiling Yang, En-gui Fan

Publication date: 11 May 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2022.108340




Related Items (17)

Long-time asymptotic behavior of the coupled dispersive AB system in low regularity spacesSoliton resolution for the Wadati-Konno-Ichikawa equation with weighted Sobolev initial dataDefocusing NLS equation with nonzero background: large-time asymptotics in a solitonless regionLong-time asymptotic behavior for the matrix modified Korteweg-de Vries equationOn the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial dataDouble and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditionsOn the long-time asymptotic for a coupled generalized nonlinear Schrödinger equations with weighted Sobolev initial dataSoliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero backgroundLong time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regionsThe defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regionsThe Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: long-time and Painlevé asymptoticsTravelling-wave, mixed-lump-kink and mixed-rogue-wave-kink solutions for an extended \((3+1)\)-dimensional shallow water wave equation in oceanography and atmospheric scienceSoliton resolution for the complex short-pulse positive flow with weighted Sobolev initial data in the space-time soliton regionsOn asymptotic stability of multi-solitons for the focusing modified Korteweg-de Vries equationLong-time asymptotics of the Hunter-Saxton equation on the lineOn the soliton resolution and the asymptotic stability of \(N\)-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regionsLong-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data



Cites Work


This page was built for publication: On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions