论文信息 - A super Korteweg-de Vries equation: An integrable system

A super Korteweg-de Vries equation: An integrable system

Abstract A super-extension is proposed of the Korteweg-de Vries and modified Korteweg-de Vries equations, the Miura transformation, and of the corresponding inverse scattering problem. The integrability of the hierarchies of these new supersystems is proved.

B. Kupershmidt | Boris A. Kupershmidt

[1] M. Dresden,et al. Solitons, gauge theories and the “great Einstein theorem”☆ , 1976 .

[2] R. D'Auria,et al. Group theoretical construction of two-dimensional supersymmetric models☆ , 1980 .

[3] G. Wilson,et al. Modifying Lax equations and the second Hamiltonian structure , 1980 .

[4] B. Kupershmidt. On the nature of the Gardner transformation , 1981 .

[5] Y. Manin. Algebraic aspects of nonlinear differential equations , 1979 .

[6] Y. Manin,et al. Equations of long waves with a free surface. II. Hamiltonian structure and higher equations , 1978 .

[7] M. Olshanetsky. Supersymmetric two-dimensional Toda lattice , 1983 .

[8] C. S. Gardner,et al. Method for solving the Korteweg-deVries equation , 1967 .

[9] B. Kupershmidt,et al. Discrete lax equations and differential-difference calculus , 1985 .

[10] B. Zumino,et al. Supergauge Transformations in Four-Dimensions , 1974 .