Studies in Applied Mathematics · 1989 · 56 citations · 6 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsDissipative SystemsInverse Problems In MechanicsNonlinear DynamicsScattering TheorySchrödinger EquationWave ReflectionHydrodynamic ForcingInverse Scattering TransformKorteweg - De Vries EquationNonlinear EvolutionNonlinear ScatteringNonlinear Schrödinger EquationNonlinear Wave ReflectionScattering Inverse Problems
The Korteweg—de Vries and nonlinear Schrödinger equations with an external forcing of distribution type are considered. The reflection coefficient is found to satisfy a nonlinear equation of a certain characteristic form which also appears in the semi‐infinite problem.
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