# Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation

Commentationes Mathematicae Universitatis Carolinae (1998)

- Volume: 39, Issue: 1, page 15-38
- ISSN: 0010-2628

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topGuowang, Chen. "Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 15-38. <http://eudml.org/doc/248275>.

@article{Guowang1998,

abstract = {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.},

author = {Guowang, Chen},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {coupled system of nonlinear Schrödinger equation and generalized IMBq; multidimensional; periodic boundary value problem; Cauchy problem; generalized local solution; classical local solution; periodic boundary value problem; generalized local solution; classical local solution},

language = {eng},

number = {1},

pages = {15-38},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation},

url = {http://eudml.org/doc/248275},

volume = {39},

year = {1998},

}

TY - JOUR

AU - Guowang, Chen

TI - Cauchy problem for multidimensional coupled system of nonlinear Schrödinger equation and generalized IMBq equation

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1998

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 39

IS - 1

SP - 15

EP - 38

AB - 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.

LA - eng

KW - coupled system of nonlinear Schrödinger equation and generalized IMBq; multidimensional; periodic boundary value problem; Cauchy problem; generalized local solution; classical local solution; periodic boundary value problem; generalized local solution; classical local solution

UR - http://eudml.org/doc/248275

ER -

## References

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