Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves
Copyright policy )Analyticity of Solitary-Wave Solutions of Model Equations for Long Waves
Summary: It is shown that solitary-wave solutions of model equations for long waves have an analytic extension to a strip in the complex plane that is symmetric about the real axis. The classes of equations to which the analysis applies include equations of Korteweg-de Vries type, the regularized long-wave equations, and particular instances of nonlinear Schrödinger equations.
Water waves, gravity waves; dispersion and scattering, nonlinear interaction, regularity, Smoothness and regularity of solutions to PDEs, nonlinear dispersive wave equations, Schrödinger-type equations, analyticity, KdV equations (Korteweg-de Vries equations), solitary waves, regularized long-wave-type equations, Continuation and prolongation of solutions to PDEs, Korteweg-de Vries-type equations
Water waves, gravity waves; dispersion and scattering, nonlinear interaction, regularity, Smoothness and regularity of solutions to PDEs, nonlinear dispersive wave equations, Schrödinger-type equations, analyticity, KdV equations (Korteweg-de Vries equations), solitary waves, regularized long-wave-type equations, Continuation and prolongation of solutions to PDEs, Korteweg-de Vries-type equations
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