Exact Solution of the <i>Modified</i> Korteweg-de Vries Equation for Multiple Collisions of Solitons

An exact solution has been obtained for the modified Korteweg-de Vries equation, \(\frac{\partial v}{\partial t}+24 v^{2}\frac{\partial v}{\partial x}+\frac{\partial^{3}v}{\partial x^{3}}{=}0\), for the case of multiple collisions of solitons with different amplitude.

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