On decay properties of solutions of the \(k\)-generalized KdV equation
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Publication:376576
DOI10.1007/s00220-013-1798-7zbMath1284.35373arXiv1211.1633OpenAlexW3098537400MaRDI QIDQ376576
Felipe Linares, Gustavo Ponce, Pedro Isaza J.
Publication date: 5 November 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.1633
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)
Related Items (16)
Unique continuation properties for one dimensional higher order Schrödinger equations ⋮ On the Propagation of Regularity and Decay of Solutions to thek-Generalized Korteweg-de Vries Equation ⋮ Well-posedness for the two dimensional generalized Zakharov-Kuznetsov equation in anisotropic weighted Sobolev spaces ⋮ On persistence properties in fractional weighted spaces ⋮ Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity ⋮ The nonlinear Schrödinger-Airy equation in weighted Sobolev spaces ⋮ Local well-posedness in weighted Sobolev spaces for nonlinear dispersive equations with applications to dispersive blow up ⋮ Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations ⋮ Well-posedness for the initial value problem associated to the Zakharov-Kuznetsov (ZK) equation in asymmetric spaces ⋮ On unique continuation for non-local dispersive models ⋮ On long-time behavior for solutions of the Gear-Grimshaw system ⋮ Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation ⋮ Decay properties for solutions of fifth order nonlinear dispersive equations ⋮ Breathers and the dynamics of solutions in KdV type equations ⋮ Uniqueness results for Zakharov-Kuznetsov equation ⋮ On optimal exponential decay properties of solutions to the Korteweg-de Vries equation
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