An Invariant Group of MKdV Equation

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Abstract

In this paper, we present an invariant group of the MKdV equation q_t = q_{xxx} - 6q²q_x. By using this invariant group, we can obtain some new solutions from a known solution by quadrature.

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Invariant group; MKdV equation; Miura transformation
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An Invariant Group of MKdV Equation. (1993). Journal of Partial Differential Equations, 6(3), 284-288. https://gsp.tricubic.dev/jpde/article/view/3750