Thesis Article

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Thesis

Invariant Solutions of Multidimensional Modified Korteweg–de Vries Equations
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16

March 2026

2022/2023

A
This paper presents a classical Lie symmetry analysis, conservation laws, and invariant solutions for a generalized family of modified Korteweg–de Vries (mKdV) equations in (1+1), (1+2), and (1+3) dimensions. Using the multiplier method and double reduction approach, several new conservation laws and exact analytical solutions are obtained. The results extend existing studies on KdV-type equations to higher dimensions and demonstrate the power of symmetry-based techniques in understanding nonl...
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