Wave Propagation in Nonlinear Lattice. II
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概要
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It is shown that a nonlinear partial differential equation $u_{t}+6\alpha uu_{x}+6\beta u^{2}u_{x}+u_{xxx}{=}0$ can be solved exactly by “inverse method”. In particular, the exact $N$-soliton solution is obtained which describes the collision processes among $N$ solitons. It is found that $N$-soliton collision in the equation is essentially the same as those in the Korteweg-de Vries equation and the Modified Korteweg-de Vries equation; $N$-soliton collision is described as the successive collisions of two solitons and there is no effect of multiparticle collisions.
- 社団法人日本物理学会の論文
- 1975-03-15
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