EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION

Weiqin Yu; Na Li; Fangqi Chen; Shouwei Zhao

doi:10.11948/2016063

2016 Volume 6 Issue 4

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Weiqin Yu, Na Li, Fangqi Chen, Shouwei Zhao. EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 968-980. doi: 10.11948/2016063

Citation:

Weiqin Yu, Na Li, Fangqi Chen, Shouwei Zhao. EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION[J]. Journal of Applied Analysis & Computation, 2016, 6(4): 968-980. doi: 10.11948/2016063

EXACT TRAVELING WAVE SOLUTIONS AND BIFURCATIONS FOR THE DULLIN-GOTTWALD-HOLM EQUATION

1 School of Fundamental Studies, Shanghai University of Engineering Science, Longteng street, 201620, Shanghai, China;
2 Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Yudao street, 210016, Nanjing, China

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Abstract

Abstract

Utilizing the methods of dynamical system theory, the DullinGottwald-Holm equation is studied in this paper. The dynamical behaviors of the traveling wave solutions and their bifurcations are presented in different parameter regions. Furthermore, the exact explicit forms of all possible bounded solutions, such as solitary wave solutions, periodic wave solutions and breaking loop wave solutions are obtained.
- Dullin-Gottwald-Holm equation /
- bifurcation /
- solitary wave solution /
- periodic wave solution /
- breaking loop wave solution
MSC: 34C37;34C23;74J30

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References

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