GEOMETRIC APPROACHES TO PRODUCE PROLONGATIONS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0219887813500023zbMath1264.35073arXiv1110.5655WikidataQ115245405 ScholiaQ115245405MaRDI QIDQ4917803

Paul Bracken

Publication date: 2 May 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5655

zbMATH Keywords

conservation lawintegrability conditionfiber bundleWahlquist-Estabrook prolongationexterior differential forms

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Continuation and prolongation of solutions to PDEs (35B60) Solutions to PDEs in closed form (35C05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

A geometric formulation of Lax integrability for nonlinear equations in two independent variables

Cites Work

• Unnamed Item
• Exterior differential systems prolongations and application to a study of two nonlinear partial differential equations
• On differential equations describing pseudo-spherical surfaces
• Nonlinear-Evolution Equations of Physical Significance
• General prolongations and (x, t)-depending pseudopotentials for the KdV equation
• The prolongation structures of quasi-polynomial flows
• INTRINSIC FORMULATION OF GEOMETRIC INTEGRABILITY AND ASSOCIATED RICCATI SYSTEM GENERATING CONSERVATION LAWS
• Pseudospherical Surfaces and Evolution Equations
• Geometric approach to soliton equations
• The KdV prolongation algebra
• Prolongation structures of nonlinear evolution equations
• A geometric interpretation of prolongation by means of connections

This page was built for publication: GEOMETRIC APPROACHES TO PRODUCE PROLONGATIONS FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS