INTRINSIC FORMULATION OF GEOMETRIC INTEGRABILITY AND ASSOCIATED RICCATI SYSTEM GENERATING CONSERVATION LAWS-Reference-Cited by-同舟云学术

INTRINSIC FORMULATION OF GEOMETRIC INTEGRABILITY AND ASSOCIATED RICCATI SYSTEM GENERATING CONSERVATION LAWS

Published:2009-08 Issue:05 Volume:06 Page:825-837
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

BRACKEN PAUL¹

Affiliation:

1. Department of Mathematics, University of Texas, Edinburg, TX, 78541-2999, USA

Abstract

An intrinsic version of the integrability theorem for the classical Bäcklund theorem is presented. It is characterized by a one-form which can be put in the form of a Riccati system. It is shown how this system can be linearized. Based on this result, a procedure for generating an infinite number of conservation laws is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887809003771

Reference14 articles.

1. Solitons, Nonlinear Evolution Equations and Inverse Scattering

2. Symmetry properties and explicit solutions of the generalized Weierstrass system

3. Soliton equations and pseudospherical surfaces

4. Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws

5. Method for Solving the Sine-Gordon Equation

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