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This article is cited in 5 scientific papers (total 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.
Citation:
O. K. Pashaev, “Relativistic Burgers and nonlinear Schrödinger equations”, TMF, 160:1 (2009), 178–188; Theoret. and Math. Phys., 160:1 (2009), 1022–1030
Linking options:
https://www.mathnet.ru/eng/tmf6389https://doi.org/10.4213/tmf6389 https://www.mathnet.ru/eng/tmf/v160/i1/p178
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Abstract page: | 586 | Full-text PDF : | 240 | References: | 68 | First page: | 26 |
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