Journal ArticleDOI
Local dynamic charges from asymptotic expansions of partition functions
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In this article, an operator representation of partition functions is presented together with an algorithm to evaluate the coefficients of the high-temperature expansion, which leads to a new compact way of finding the conserved dynamic charges for integrable hamiltonian systems.About:
This article is published in Physics Letters A.The article was published on 1979-04-16. It has received 1 citations till now. The article focuses on the topics: Operator (computer programming) & Integrable system.read more
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KdV equation on riemann surfaces
TL;DR: In this article, a generalization of the KdV equation to Riemann surfaces, together with the corresponding hierarchy of equations and infinite set of charges in involution, was defined.
References
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Journal ArticleDOI
An exact solution for a derivative nonlinear Schrödinger equation
David J. Kaup,Alan C. Newell +1 more
TL;DR: In this paper, a method of solution for the derivative nonlinear Schrodinger equation is presented, where the appropriate inverse scattering problem is solved and the one-soliton solution is obtained, as well as the infinity of conservation laws.
Journal ArticleDOI
Method for Solving the Sine-Gordon Equation
TL;DR: In this article, the initial value problem for the sine-Gordon equation is solved by the inverse-scattering method, and the inverse scatter method is used to solve the inverse value problem.
Journal ArticleDOI
Korteweg-de Vries equation: A completely integrable Hamiltonian system
BookDOI
Dynamical systems, theory and applications
TL;DR: In this article, the authors studied the integrability of nonlinear wave equations with constant coefficients on the torus, and the existence of heteroclinic orbits, with applications to the hopf bifurcation problem.
Journal ArticleDOI
On the method of inverse scattering problem and Bäcklund transformations for supersymmetric equations
Masud Chaichian,P.P. Kulish +1 more
TL;DR: In this paper, the system of linear equations for which the method of inverse scattering should be applicable was studied, and expressions for an infinite set of conserved currents were explicitly given.
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