Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation

DOI10.1063/1.4874107zbMath1338.35301OpenAlexW1979895294MaRDI QIDQ5171366

Nakao Hayashi, Pavel I. Naumkin, Tomoyuki Niizato

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4874107

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Related Items

Asymptotics for the Ostrovsky-Hunter equation in the critical case ⋮ Large time asymptotics of solutions to the short-pulse equation ⋮ Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations ⋮ Asymptotic behavior of solutions to the short pulse equation with critical nonlinearity ⋮ Large time asymptotics for the reduced Ostrovsky equation

Cites Work

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• Global existence of small-norm solutions in the reduced Ostrovsky equation
• Well-posedness and small data scattering for the generalized Ostrovsky equation
• Wave breaking in the short-pulse equation
• On the asymptotic behavior of solutions of semi-linear wave equations
• Propagation of ultra-short optical pulses in cubic nonlinear media
• Large time asymptotics for the reduced Ostrovsky equation
• Asymptotics of solutions to the generalized Ostrovsky equation
• Wave Breaking in the Ostrovsky–Hunter Equation
• Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
• Global Well-Posedness of the Short-Pulse and Sine–Gordon Equations in Energy Space
• Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
• On the Asymptotic Behavior of Nonlinear Wave Equations
• Ostrovsky and Hunter's generic wave equation for weakly dispersive waves: matched asymptotic and pseudospectral study of the paraboloidal travelling waves (corner and near-corner waves)
• Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential

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