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چکیده
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In this paper, the Lie symmetry analysis is applied to investigate new solutions of the modified Korteweg-de Vries–Kadomtsev-Petviashvili (mKdV–KP) equation. The reduction method that was introduced by Nucci, is employed to solve some of the obtained reduced ordinary differential equations. The conservation laws, using a new conservation theorem, are derived for the underlying equation.
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