Higher order asymptotics for the Hirota equation via Deift-Zhou higher order theory

DOI10.1016/j.physleta.2014.10.028zbMath1303.35052OpenAlexW1965302631MaRDI QIDQ489452

En-gui Fan, Lin Huang, Jian Xu

Publication date: 20 January 2015

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2014.10.028

zbMATH Keywords

Riemann-Hilbert problemHirota equationDeift-Zhou higher order theory

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Riemann-Hilbert problems in context of PDEs (35Q15)

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Cites Work

• Long-time asymptotics for the defocusing integrable discrete nonlinear Schrödinger equation
• Long-time asymptotics for integrable systems. Higher order theory
• On the long time behavior of the doubly infinite Toda lattice under initial data decaying at infinity
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Equivalent Forms of a Generalized Hirota's Equation with Linear Inhomogeneities
• Scattering and inverse scattering for first order systems
• The collisionless shock region for the long‐time behavior of solutions of the KdV equation
• A unified transform method for solving linear and certain nonlinear PDEs
• Higher order asymptotics of the modified non-linear schrödinger equation
• Exact envelope-soliton solutions of a nonlinear wave equation
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