Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV

DOI10.1088/0951-7715/22/2/005zbMath1154.35439OpenAlexW2023780826MaRDI QIDQ3605105

Fred B. Weissler, Jerry L. Bona

Publication date: 20 February 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/22/2/005

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Singularity in context of PDEs (35A21)

Related Items (10)

The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles ⋮ Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities ⋮ Lower bounds on the radius of spatial analyticity for the higher order nonlinear dispersive equation on the real line ⋮ Exponential \(H_\infty\) filtering for complex-valued uncertain discrete-time neural networks with time-varying delays ⋮ Blowup and ill-posedness for the complex, periodic KdV equation ⋮ Holomorphic extension of solutions of semilinear elliptic equations ⋮ Space-time analyticity of weak solutions to linear parabolic systems with variable coefficients ⋮ Stability of solitary-wave solutions of systems of dispersive equations ⋮ Spatial Analyticity of Solutions to Integrable Systems. I. The KdV Case ⋮ Soliton Theory and Hankel Operators

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