Relativistic Burgers and Nonlinear Schrödinger Equations

Abstract

Relativistic complex Burgers-Schrödinger and Nonlinear Schrödinger equations are constructed. In the non-relativistic limit they reduce to the standard Burgers and NLS equations respectively and are integrable at any order of relativistic corrections.

arXiv comment11 pages, contribution to Proceedings of Conference, Nonlinear Physics. Theory and Experiment V, Gallipoli, Italy 2008; to appear in Theoretical and Mathematical Physics

References in corpus (2)

• Blow-Up for Nonlinear Wave Equations describing Boson Stars
• Abelian Chern-Simons Vortices and Holomorphic Burgers' Hierarchy

Cited by in corpus (1)

• Relativistic DNLS and Kaup-Newell Hierarchy