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Nonlinear Dynamics

, Volume 85, Issue 3, pp 1665–1677 | Cite as

Some singular solutions and their limit forms for generalized Calogero–Bogoyavlenskii–Schiff equation

  • Shaoyong Li
  • Yin Li
  • Ben-gong Zhang
Original Paper

Abstract

By using the bifurcation method of dynamical systems, we investigate the singular solutions and their limit forms for generalized Calogero–Bogoyavlenskii–Schiff equation. Via some special phase orbits, we obtain some new explicit singular wave solutions expressed in terms of elliptic integral and elliptic function. From their limit forms, we also obtain the hyperbolic function kink wave and trigonometric function singular solutions.

Keywords

Generalized Calogero–Bogoyavlenskii–Schiff equation Bifurcation method Singular solutions Limit forms 

Notes

Acknowledgments

All authors wish to thank the editor and the anonymous referee for many valuable suggestions leading to the improvement of this paper.

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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsShaoguan UniversityShaoguanPeople’s Republic of China
  2. 2.School of Mathematical and Computer ScienceWuhan Textile UniversityWuhanPeople’s Republic of China

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