### AIMS Mathematics

2019, Issue 4: 1203-1222. doi: 10.3934/math.2019.4.1203
Research article Special Issues

# Travelling wave solutions for fractional Korteweg-de Vries equations via an approximate-analytical method

• Received: 29 December 2019 Accepted: 26 February 2019 Published: 26 August 2019
• This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms. The main advantage of the paper is to apply the proposed AAM to solve the fractional Korteweg-de Vries (KdV) equations. Moreover, the analytical travelling wave solutions for the fractional KdV equation and the modified fractional KdV equation are successfully obtained. The numerical solutions are also obtained in the forms of tables and graphs. The fractional partial derivatives are considered in Caputo sense.

Citation: Hayman Thabet, Subhash Kendre, James Peters. Travelling wave solutions for fractional Korteweg-de Vries equations via an approximate-analytical method[J]. AIMS Mathematics, 2019, 4(4): 1203-1222. doi: 10.3934/math.2019.4.1203

### Related Papers:

• This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms. The main advantage of the paper is to apply the proposed AAM to solve the fractional Korteweg-de Vries (KdV) equations. Moreover, the analytical travelling wave solutions for the fractional KdV equation and the modified fractional KdV equation are successfully obtained. The numerical solutions are also obtained in the forms of tables and graphs. The fractional partial derivatives are considered in Caputo sense. ###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142 0.882 0.9

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