Physical Review Letters · 1973 · 1.1K citations · 9 references
Natural SciencesMathematicsPhysicsDifferential EquationsMathematical PhysicsTheoretical PhysicsInitial Value ProblemsInverse Problems In MechanicsNonlinear DynamicsPartial Differential EquationsScattering ProblemsScattering TheoryInitial Value FormulationInitial Value Problem FormulationInitial Value Problem SolversInverse ScatteringKorteweg - De Vries EquationNonlinear EvolutionScattering Inverse ProblemsSine-gordon Equation
We present the inverse scattering method which provides a means of solution of the initial-value problem for a broad class of nonlinear evolution equations. Special cases include the sine-Gordon equation, the sinh-Gordon equation, the Benney-Newell equation, the Korteweg-de Vries equation, the modified Korteweg-de Vries equation, and generalizations.
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Method for Solving the Korteweg-deVries Equation
Clifford S. Gardner, J. M. Greene, Martin D. Kruskal et al. · Physical Review Letters · 1967 · 4.6K citations