Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation
Guowang, Chen
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 15-38 / Harvested from Czech Digital Mathematics Library
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The existence, uniqueness and regularity of the generalized local solution and the classical local solution to the periodic boundary value problem and Cauchy problem for the multidimensional coupled system of a nonlinear complex Schrödinger equation and a generalized IMBq equation $$ i\varepsilon_t+\nabla^2\varepsilon-u\varepsilon=0, $$ $$ u_{tt}-\nabla^2u-a\nabla^2u_{tt}=\nabla^2f(u)+\nabla^2(|\varepsilon|^2) $$ are proved.

Publié le : 1998-01-01
Classification:  35D05,  35K55,  35L35,  35Q55 
@article{118981,
     author = {Chen Guowang},
     title = {Cauchy problem for multidimensional coupled system of nonlinear Schr\"odinger equation and generalized IMBq equation},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {15-38},
     zbl = {0940.35181},
     mrnumber = {1622316},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118981}
}

Guowang, Chen. Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 15-38. http://gdmltest.u-ga.fr/item/118981/

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