New explicit exact solutions for the generalized coupled Hirota–Satsuma KdV system

In this paper, we study the generalized coupled Hirota–Satsuma KdV system by using the two new improved projective Riccati equations method. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and combined formal solitary wave solutions and...

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Bibliographic Details
Published inComputers & mathematics with applications (1987) Vol. 53; no. 8; pp. 1181 - 1190
Main Authors Lu, Dianchen, Hong, Baojian, Tian, Lixin
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.04.2007
Subjects
Exact solutions
Generalized coupled Hirota–Satsuma KdV system
Mathematical analysis
Mathematical models
Periodic wave solution
Riccati equation
Riccati equations
Solitary wave solution
Solitary waves
Generalized coupled Hirota–Satsuma KdV system
Periodic wave solution
Riccati equations
Solitary wave solution
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Summary:In this paper, we study the generalized coupled Hirota–Satsuma KdV system by using the two new improved projective Riccati equations method. As a result, many explicit exact solutions, which contain new solitary wave solutions, periodic wave solutions and combined formal solitary wave solutions and combined formal periodic wave solutions are obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.08.047