Physical Review Letters · 1974 · 156 citations · 7 references
Natural SciencesMathematicsPhysicsDifferential EquationsInverse ProblemsInverse Problems In MechanicsPartial Differential EquationsScattering ProblemsScattering TheoryBäcklund TransformationsElliptic Partial Differential EquationsInverse Problems In Partial Differential EquationsInverse ScatteringNonlinear Differential-algebraic EquationsNonlinear Partial Differential EquationsScattering Inverse Problems
A general way is demonstrated to derive B\"acklund transformations for nonlinear partial differential equations that are solvable by the inverse scattering method in the scheme of Ablowitz, Kaup, Newell, and Segur.
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