Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method

被引：33

作者：

Bhanotar, Shailesh A. ^{[1
]}

Kaabar, Mohammed K. A. ^{[2
,3
,4
]}

机构：

[1] LJ Univ, LJIET, Dept Math, Ahmadabad, Gujarat, India

[2] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, Malaysia

[3] Near Gofa Ind Coll & German Adebabay, Gofa Camp, Addis Ababa 26649, Ethiopia

[4] UN Relief & Works Agcy UNRWA Palestinian Refugee, Jabalia Camp, Gaza Strip Jabalya, Palestine

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 2021卷

关键词：

TRAVELING-WAVE SOLUTIONS; SOLITONS;

D O I：

10.1155/2021/9988160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the proposed algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative.

引用

页数：18

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