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

Authors:
Dianchen Lu;Baojian Hong;Lixin Tian
Affiliations:
Nonlinear Scientific Research Centre, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, PR China;Department of Basic Course, Nanjing Institute of Technology, Nanjing 211167, PR China;Nonlinear Scientific Research Centre, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, PR China
Venue:
Computers & Mathematics with Applications
Year:
2007

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Traveling wave solutions for some nonlinear evolution equations by the first integral method

WSEAS Transactions on Mathematics

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Abstract

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.