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35-XX Partial differential equations
35Mxx Equations and systems of special type (mixed, composite, etc.)

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Initial boundary value problem for generalized Zakharov equations

Shujun You, Boling Guo, Xiaoqi Ning (2012)

Applications of Mathematics

This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in $(2 + 1)$ dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.

Initial-boundary value problems for quasilinear dispersive equations posed on a bounded interval.

Faminskii, Andrei V., Larkin, Nikolai A. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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