This article is cited in 5 papers

Relativistic Burgers and nonlinear Schrödinger equations

O. K. Pashaev

Izmir Institute of Technology

Abstract: We construct relativistic complex Burgers–Schrödinger and nonlinear Schrödinger equations. In the nonrelativistic limit, they reduce to the standard Burgers and nonlinear Schrödinger equations and are integrable through all orders of relativistic corrections.

Keywords: semirelativistic nonlinear Schrödinger equation, relativistic Burgers–Schrödinger equation, nonlinear Schrödinger hierarchy, relativistic dispersion, recursion operator.

DOI: 10.4213/tmf6389

 English version: Theoretical and Mathematical Physics, 2009, 160:1, 1022–1030

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