J. Phys. Soc. Jpn. 34 (1973) pp. 1289-1296  |Next Article|  |Table of Contents|
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The Modified Korteweg-de Vries Equation

Miki Wadati

(Received November 9, 1972)

It is shown that the Modified Korteweg-de Vries equation can be solved exactly by the “inverse scattering method.” As the special case, the N-soliton solution is obtained explicitly. It is found that N-soliton collision in the Modified Korteweg-de Vries equation is essentially the same as that in the Korteweg-de Vries equation; N-soliton collision is described as the successive collisions of two solitons and there is no effect of multiparticle collisions. Moreover, it is shown that the Modified Korteweg-de Vries equation has new families of the solution. ©1973 The Physical Society of Japan

URL: http://jpsj.ipap.jp/link?JPSJ/34/1289/
DOI: 10.1143/JPSJ.34.1289

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