Geodesic
Relativistic Burgers and nonlinear Schr\"odinger equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 178-188

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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. 
@article{TMF_2009_160_1_a16,
     author = {O. K. Pashaev},
     title = {Relativistic {Burgers} and nonlinear {Schr\"odinger} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {178--188},
     publisher = {mathdoc},
     volume = {160},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a16/}
}
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O. K. Pashaev. Relativistic Burgers and nonlinear Schr\"odinger equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 178-188. http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a16/