The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons

DOI10.1216/RMJ-1978-8-1-25zbMath0403.35085OpenAlexW1991507469MaRDI QIDQ1256128

Alan C. Newell

Publication date: 1978

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1978-8-1-25

zbMATH Keywords

DiffusionDampingSingular PerturbationsDensity GradientsInverse Scattering TransformNonlinear Schrödinger SolitonNonlinear WavesSine-Gordon EquationSynchronized Solitons

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Second-order nonlinear hyperbolic equations (35L70) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

On kinks and other travelling-wave solutions of a modified sine-Gordon equation ⋮ Asymptotic decay of solutions of the Liouville equation under perturbations ⋮ Infinitesimal transformations about soliton solutions of sine–Gordon and modified Korteweg–de Vries equations

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