NDLI: The Bi-Hamiltonian Structure and New Solutions of KdV6 Equation

Content Provider	Springer Nature Link
Author	Yao, Yuqin Zeng, Yunbo
Copyright Year	2008
Abstract	We show that the KdV6 equation and the nonholonomic perturbation of bi-Hamiltonian system of KdV hierarchy recently studied in Karasu-Kalkanli et al. (J Math Phys 49:073516, 2008) and Kupershmidt (Phys Lett A 372:2634–2639, 2008) are equivalent to the Rosochatius deformation of KdV equation and KdV hierarchy with self-consistent sources (RD-KdVESCS, RD-KdVHSCS), respectively, recently presented in Yao and Zeng (J Phys A Math Theor 41:295205, 2008). The t-type bi-Hamiltonian formalisms of KdV6 equation and RD-KdVHSCS are constructed by taking x as evolution parameter. Some new solutions of KdV6 equation, such as soliton, positon and negaton solution, are presented.
Ending Page	208
Page Count	16
Starting Page	193
File Format	PDF
ISSN	03779017
e-ISSN	15730530
Journal	Letters in Mathematical Physics
Issue Number	2-3
Volume Number	86
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-11-22
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geometry KdV6 equation Rosochatius deformation of KdV equation with self-consistent source KdV-like equations (Korteweg-de Vries) Lie-BÃ¤cklund and other transformations negaton solution Mathematical and Computational Physics Group Theory and Generalizations bi-Hamiltonian structure positon solution Statistical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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The Bi-Hamiltonian Structure and New Solutions of KdV6 Equation