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Supersymmetric generalization of a coupled KdV equation
P. K. Roy,Bijan Bagchi +1 more
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In this article, a supersymmetric generalization of Ito's coupled KdV equation is presented, which possesses infinite conservation laws and associated symmetries, and it is shown that it can be expressed asAbstract:
We point out a supersymmetric generalization of Ito’s coupled KdV equation which possesses infinite conservation laws and associated symmetries.read more
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Supersymmetric generalization of boussinesq–burger system
TL;DR: In this paper, the Boussinesq-Burger coupled equation was generalized by constructing supersymmetric two boson system that is integrable, and two super Hamiltonians were obtained.
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Korteweg-devries equation and generalizations. VI. methods for exact solution
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A super Korteweg-de Vries equation: An integrable system
TL;DR: In this article, a super-extension of the Korteweg-de Vries equations and modified versions of the Miura transformation is proposed, and the integrability of the hierarchies of these new supersystems is proved.
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Supersymmetric extension of the Korteweg--de Vries equation
TL;DR: In this paper, it was shown that among a family of supersymmetric extensions of the Kortewegde Vries equation, there is a special system that has an infinite number of conservation laws, which can be formulated in the second Hamiltonian structure, and which has a nontrivial Lax representation.
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Symmetries and conservation laws of a coupled nonlinear wave equation
TL;DR: In this paper, a coupled nonlinear wave equation is presented, and it is shown that the coupled equation possesses infinitely many symmetries and conservation laws, each of which is a hamiltonian system.