International Journal of Theoretical Physics

, Volume 58, Issue 1, pp 92–102 | Cite as

Characteristics of the Lumps and Stripe Solitons with Interaction Phenomena in the (2 + 1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

  • Zhi-Hao Deng
  • Xia Chang
  • Jia-Ning Tan
  • Bing TangEmail author
  • Ke Deng


So far, the interaction between the lump waves and solitons has received much attention from many fields because of its significance to represent new physical phenomena occurring in various branches of physics. In this work, we study the interaction phenomenon between the lump waves and stripe solitons in the (2 + 1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation by making use of the Hirota bilinear method. Adopting the positive quadratic function solutions of the corresponding bilinear equation, a class of lump wave solutions are analytically constructed. What is more, we obtain the lump-single stripe soliton interaction solutions, and show that the one stripe soliton can split into a lump and a stripe soliton. In addition, we provide the interaction solutions between one lump and twin resonance stripe solitons, and present the law of the interaction between a lump and twin resonance stripe solitons by the related three-dimensional plots.


The Caudrey–Dodd–gibbon–Sawada-Kotera equation Hirota’s bilinear form Lump waves Interaction phenomena Resonance solitons 



This study was supported by the National Natural Science Foundation of China (Grant Nos. 11604121, 11875126 and 11464012), the Natural Science Fund Project of Hunan Province (Grant No. 2017JJ3255), and the Natural Science Fund Project of Jishou University (Grant No. Jdy17032). We would like to thanks Professor Wen-Xiu Ma and Professor Sen-Yue Lou for useful suggestions on this work.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Physics, Mechanical and Electrical EngineeringJishou UniversityJishouChina

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