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

被引：6

作者：

Mesloub, Said ^{[1
]}

Gadain, Hassan Eltayeb ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Math Dept, POB 2455, Riyadh 11451, Saudi Arabia

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 10期

关键词：

double Laplace transform; inverse Laplace transform; generalized modified linear Boussinesq equation; nonlinear Boussinesq equation; ADOMIAN DECOMPOSITION METHOD; HOMOTOPY PERTURBATION METHOD; SOLITON-SOLUTIONS; EQUATION; WAVES;

D O I：

10.3390/sym11101273

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：14

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