Journal of the Physical Society of Japan · 1977 · 228 citations · 4 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsDifference EquationsNonlinear DynamicsNonlinear Wave DynamicsPartial Differential EquationsSchrödinger EquationTime IntegrationNonlinear Difference EquationsNonlinear Partial Differential EquationsPartial Difference EquationsSoliton TheoryWave Equations
A nonlinear partial difference equation which reduces to the Toda equation in the continuous-time limit, is obtained and solved using the dependent variable transformation. The N -soliton solution for this equation has the same functional form as that found in the Toda equation.
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