Jie-Fang Zhang, Ji Lin
Abstract
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We first give for the combined KdV–mKdV equation, an inverse strong symmetry and five symmetries, and then we constitute six sets of symmetries and a generalized hierarchy of combined KdV–mKdV from these symmetries by using strong symmetry and its inverse.
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We first give for the combined KdV–mKdV equation, an inverse strong symmetry and five symmetries, and then we constitute six sets of symmetries and a generalized hierarchy of combined KdV–mKdV from these symmetries by using strong symmetry and its inverse.
Key concepts: Korteweg–de Vries equation, Homogeneous space, Symmetry (geometry), Hierarchy, KdV hierarchy, Inverse, Mathematical physics, Mathematics