Journal of the Physical Society of Japan · 1983 · 239 citations · 21 references
Natural SciencesMathematicsPhysicsDifferential EquationsDiscrete MathematicsDifference EquationsElliptic CurvesFinite Difference MethodsSystems Of Differential EquationsSoliton TheorySolitons
As a continuation of previous work, method for generating difference and/or differential soliton equations is described for the KP family of orthogonal type (BKP), and for the case related to an elliptic curve.
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Nonlinear differential−difference equations
Mark J. Ablowitz, J. F. Ladik · Journal of Mathematical Physics · 1975 · 936 citations
Transformation groups for soliton equations
Etsurō Date, Michio Jimbo, Masaki Kashiwara et al. · Physica D Nonlinear Phenomena · 1982 · 537 citations
A Nonlinear Difference Scheme and Inverse Scattering
Mark J. Ablowitz, J. F. Ladik · Studies in Applied Mathematics · 1976 · 517 citations