Method for Solving the Korteweg-deVries Equation
Clifford S. GardnerPlasma Physics Laboratory, Princeton University, Princeton, New JerseyJ. M. GreenePlasma Physics Laboratory, Princeton University, Princeton, New JerseyMartin D. KruskalPlasma Physics Laboratory, Princeton University, Princeton, New JerseyRobert M. MiuraPlasma Physics Laboratory, Princeton University, Princeton, New Jersey
1967en
ABI
Abstract
A method for solving the initial-value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as $|x|\ensuremath{\rightarrow}\ensuremath{\infty}$. The method can be used to predict exactly the "solitons," or solitary waves, which emerge from arbitrary initial conditions. Solutions that describe any finite number of solitons in interaction can be expressed in closed form.
Identifiers
Citations and references
Cited by 580 references