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Exact solutions to the combined KdV and mKdV equation

✍ Scribed by M. N. B. Mohamad

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
258 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper presents two different methods for the construction of exact solutions to the combined KdV and mKdV equation. The first method is a direct one based on a general form of solution to both the KdV and the modified KdV (mKdV) equations. The second method is a leading order analysis method. The method was devised by Jeffrey and Xu. Each of these methods is capable of solving the combined KdV and mKdV equation exactly.

πŸ“œ SIMILAR VOLUMES

Solitary wave solutions and cnoidal wave
Solitary wave solutions and cnoidal wave solutions to the combined KdV and mKdV equation
✍ Sen-Yue Lou; Li-Li Chen πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 370 KB

## Abstract This paper presents a mapping approach for the construction of exact solutions to the combined KdV and mKdV equation. There exist two types of soliton solutions which will reduce back to those of the KdV and mKdV equations in some appropriate limits. Four types of the general cnoidal wa