Asymptotics of solutions to a fifth-order modified Korteweg–de Vries equation in the quarter plane

DOI10.1142/S0219530519500210zbMath1479.35744MaRDI QIDQ5153348

Nan Liu, Bo-ling Guo

Publication date: 29 September 2021

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

long-time asymptoticsRiemann-Hilbert methodfifth-order modified Korteweg-de Vries equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (5)

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 asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation ⋮ 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

Uses Software

• rogue-waves

Cites Work

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