Journal of the Physical Society of Japan · 1982 · 150 citations · 2 references
Natural SciencesMathematicsPhysicsDifferential EquationsDiscrete MathematicsDynamical SystemsNonlinear DynamicsNumerical Methods For Differential EquationsPartial Differential EquationsSchrödinger EquationSystems Of Differential EquationsBilinear FormsContinuous-time ModelsDiscretization Of Partial Differential EquationsSoliton TheorySolitonsWave Equations
The investigation on the discretization of soliton equations is continued. Discrete and continuous time evolutions are introduced for the single-component Kadomtsev-Petviashvili hierarchy. Bilinear identities, which are equivalent to a hierarchy of linear or bilinear equations, are given. Several explicit examples are worked out.
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Discrete Analogue of a Generalized Toda Equation
Ryogo Hirota · Journal of the Physical Society of Japan · 1981 · 508 citations