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On Some Initial and Initial Boundary Value Problems for Linear and Nonlinear Boussinesq Models

Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
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Symmetry 2019, 11(10), 1273; https://doi.org/10.3390/sym11101273
Received: 6 September 2019 / Revised: 1 October 2019 / Accepted: 2 October 2019 / Published: 11 October 2019
(This article belongs to the Special Issue Ordinary and Partial Differential Equations: Theory and Applications)
The main concern of this paper is to apply the modified double Laplace decomposition method to a singular generalized modified linear Boussinesq equation and to a singular nonlinear Boussinesq equation. An a priori estimate for the solution is also derived. Some examples are given to validate and illustrate the method. View Full-Text
Keywords: double Laplace transform; inverse Laplace transform; generalized modified linear Boussinesq equation; nonlinear Boussinesq equation double Laplace transform; inverse Laplace transform; generalized modified linear Boussinesq equation; nonlinear Boussinesq equation
MDPI and ACS Style

Mesloub, S.; Gadain, H.E. On Some Initial and Initial Boundary Value Problems for Linear and Nonlinear Boussinesq Models. Symmetry 2019, 11, 1273.

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