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Similarity solutions of the super KdV equation. (English) Zbl 0837.35134

Summary: Two types of similarity reductions of the super KdV equation are given by the direct method.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
58J70 Invariance and symmetry properties for PDEs on manifolds
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References:

[1] P. Mathieu, The Painleve property for fermionik extensions of the korteweg-De vries equation,J. Math. Phys.,29 (1988), 2499. · Zbl 0665.35076
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[3] P. J. Olver,Application of Lie Group to Differential Equation, Berlin Springer (1986). · Zbl 0588.22001
[4] P. A. Clarkson & M. D. Kruskal, New similarity reduction of the boussinesq equation,J. Math. Phys. 30 (1989), 2201. · Zbl 0698.35137
[5] S. Y. Lou, Similarity solutions of the kadomtsev-petviashvili equation,J. Phys. A.,23 (1990), 1649. · Zbl 0729.35118
[6] S. Y. Lou, H. Y. Ruan, et al., Similarity reductions of the Kp equation by a direct method,Phys. A.,24 (1991), 1455. · Zbl 0734.35122
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