Construction of solutions to the subcritical gKdV equations with a given asymptotical behavior

DOI10.1016/j.jfa.2006.04.007zbMath1157.35091OpenAlexW2049341013MaRDI QIDQ860798

Raphaël Côte

Publication date: 9 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.007

zbMATH Keywords

solutionsubcritical generalized 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)

Related Items (12)

Two-soliton solutions to the three-dimensional gravitational Hartree equation ⋮ Scattering for the quartic generalised Korteweg-de Vries equation ⋮ Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters ⋮ Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation ⋮ Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations ⋮ Description of two soliton collision for the quartic gKdV equation ⋮ Breathers and the dynamics of solutions in KdV type equations ⋮ Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system ⋮ Construction of solutions to the \(L^2\)-critical KdV equation with a given asymptotic behaviour ⋮ Solution to the semilinear wave equation with a pyramid-shaped blow-up surface ⋮ Why are solitons stable? ⋮ Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension

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