A family of novel exact solutions to 2 + 1-dimensional KdV equation

Zhen Wang; Li Zou; Zhi Zong; Hongde Qin

doi:10.1155/2014/764750

A family of novel exact solutions to 2 + 1-dimensional KdV equation

Zhen Wang
, Li Zou
, Zhi Zong
, Hongde Qin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2 + 1 -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.

Original language	English
Article number	764750
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/764750
State	Published - 2014
Externally published	Yes

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title = "A family of novel exact solutions to 2 + 1-dimensional KdV equation",

abstract = "We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2 + 1 -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.",

author = "Zhen Wang and Li Zou and Zhi Zong and Hongde Qin",

year = "2014",

doi = "10.1155/2014/764750",

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T1 - A family of novel exact solutions to 2 + 1-dimensional KdV equation

AU - Wang, Zhen

AU - Zou, Li

AU - Zong, Zhi

AU - Qin, Hongde

PY - 2014

Y1 - 2014

N2 - We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2 + 1 -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.

AB - We introduce two subequations with different independent variables for constructing exact solutions to nonlinear partial differential equations. In order to illustrate the efficiency and usefulness, we apply this method to 2 + 1 -dimensional KdV equation, which was first derived by Boiti et al. (1986) using the idea of the weak Lax pair. As a result, we obtained many new exact solutions.

UR - https://www.scopus.com/pages/publications/84899431022

U2 - 10.1155/2014/764750

DO - 10.1155/2014/764750

M3 - 文章

AN - SCOPUS:84899431022

SN - 1085-3375

VL - 2014

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 764750

ER -

A family of novel exact solutions to 2 + 1-dimensional KdV equation

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