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- Title
Bifurcations and Exact Solutions of the Generalized Radhakrishnan–Kundu–Lakshmanan Equation with the Polynomial Law.
- Authors
Yu, Mengke; Chen, Cailiang; Zhang, Qiuyan
- Abstract
In this paper, we investigate the generalized Radhakrishnan–Kundu–Lakshmanan equation with polynomial law using the method of dynamical systems. By using traveling-wave transformation, the model can be converted into a singular integrable traveling-wave system. Then, we discuss the dynamical behavior of the associated regular system and we obtain bifurcations of the phase portraits of the traveling-wave system under different parameter conditions. Finally, under different parameter conditions, we obtain the exact periodic solutions, and the peakon, homoclinic and heteroclinic solutions.
- Subjects
POLYNOMIALS; EQUATIONS; DYNAMICAL systems; BACKLUND transformations; ORBITS (Astronomy)
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 20, p4351
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11204351