Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation

DOI10.4310/CMS.2019.v17.n7.a6zbMath1433.35343arXiv1907.03067WikidataQ126405319 ScholiaQ126405319MaRDI QIDQ2285635

Deng-Shan Wang, Nan Liu, Bo-ling Guo, Yu-Feng Wang

Publication date: 8 January 2020

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03067

zbMATH Keywords

Riemann-Hilbert problemlong-time asymptoticsnonlinear steepest descent methodextended modified Korteweg-de Vries equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (11)

Higher Order Airy and Painlevé Asymptotics for the mKdV Hierarchy ⋮ Painlevé-type asymptotics of an extended modified KdV equation in transition regions ⋮ Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles ⋮ Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions ⋮ Long-time asymptotic behavior for the matrix modified Korteweg-de Vries equation ⋮ Painlevé asymptotics for the coupled Sasa-Satsuma equation ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Long-time asymptotics of solution to the coupled Hirota system with \(4 \times 4\) Lax pair ⋮ Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform ⋮ Inverse scattering for the derivative nonlinear Schrödinger equation with nonzero boundary conditions and triple poles ⋮ Long-time asymptotic behavior of the solution to the coupled Hirota equations with decaying initial data

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