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Relativistic Burgers and nonlinear SchrÖdinger equations

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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.

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Authors and Affiliations

  1. Department of Mathematics, Izmir Institute of Technology, Urla-Izmir, Turkey

    O. K. Pashaev

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  1. O. K. Pashaev
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Correspondence to O. K. Pashaev.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 160, No. 1, pp. 178–188, July, 2009.

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Pashaev, O.K. Relativistic Burgers and nonlinear SchrÖdinger equations. Theor Math Phys 160, 1022–1030 (2009). https://doi.org/10.1007/s11232-009-0093-4

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  • DOI: https://doi.org/10.1007/s11232-009-0093-4

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