Well-posedness of the Cauchy problem for the Hirota equation in Sobolev spaces \(H^s\)

DOI10.1016/j.na.2004.10.011zbMath1062.35132OpenAlexW2049205083MaRDI QIDQ1764861

Zhaohui Huo, Bo-ling Guo

Publication date: 22 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.10.011

zbMATH Keywords

Fourier restriction normHirota equationTrilinear estimates

Mathematics Subject Classification ID

Related Items (7)

Initial-boundary value problem for the Hirota equation posed on a finite interval ⋮ \(N\)-soliton solutions for the \((2+1)\)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers ⋮ Local well-posedness and time regularity for a fifth-order shallow water equations in analytic Gevrey-Bourgain spaces ⋮ On the Cauchy problem for a coupled system of third-order nonlinear Schrödinger equations ⋮ Well-posedness of the initial-boundary value problem for the Hirota equation on the half line ⋮ Nonlinear stability of multi-solitons for the Hirota equation ⋮ Multilabel classification through random graph ensembles

Cites Work

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• Global smooth solution for nonlinear evolution equation of Hirota type
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
• On the generalized Korteweg-de Vries type equations
• THE CAUCHY PROBLEM FOR A THIRD ORDER NONLINEAR SCHRÖDINGER EQUATION
• On the nonlinear Schrodinger equations of derivative type
• A bilinear estimate with applications to the KdV equation

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