论文信息 - Discontinuous N -Soliton Solution for Semi-Discrete Sine-Gordon Equation

Discontinuous N -Soliton Solution for Semi-Discrete Sine-Gordon Equation

We report the existence of the N -discontinuous soliton solution for the semidiscrete sine-Gordon equation under the vanishing boundary condition. First, we transform the equation for the discontinuous solitons into Hirota's bilinear form. Next, we prove the N -soliton solution for the bilinear variables using the mathematical induction. We also discuss the complete classification of the 2-soliton solutions for the semidiscrete sine-Gordon equation.

K. Narita

[1] K. Narita. Asymmetric Discrete Envelope Soliton Solutions for Semi-Discrete Nonlinear Wave Equations , 1987 .

[2] K. Narita. Discontinuous Solitons for Discrete Sine-Gordon Equation , 1984 .

[3] Decio Levi,et al. The inverse scattering transform for solving the discrete sine-Gordon equation , 1982 .

[4] Orlando Ragnisco,et al. Extension of the Zakharov-Shabat generalized inverse method to solve differential-difference and difference-difference equations , 1980 .

[5] P. Brentano,et al. On the interpretation of compound nuclear lifetimes measured by the X-ray method , 1980 .

[6] Ryogo Hirota,et al. Nonlinear Partial Difference Equations. : I. A Difference Analogue of the Korteweg-de Vries Equation , 1977 .

[7] R. Hirota. Exact N-Soliton Solution of Nonlinear Lumped Self-Dual Network Equations , 1973 .