Abstract
In this paper, a multi-component combined short pulse-mKdV equation is constructed as a nonstreching invariant curve flow in the n -dimensional unit sphere S n ( 1 ) = SO ( n + 1 ) / SO( n ) . The invariant subspace method is used to solve the resulting combined short pulse-mKdV equation with n = 1. Through symbolic computation with the aid of mathematical software Maple, new exact solutions are obtained from its two-dimensional invariant subspaces formed in forms of the exponential functions and trigonometric functions.
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