Bifurcations and Exact Traveling Wave Solutions in the Generalized Sasa-Satsuma Equation

Authors：Deng, Shenfu; Chen, Guanrong; Li, Jibin^*

Source：International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2022, 32(06): 2250092.

DOI：10.1142/S0218127422500924

• Solitary wave
• periodic wave
• peakon
• periodic peakon
• bifurcation
• generalized Sasa-Satsuma equation

This paper studies traveling wave solutions of a generalized Sasa-Satsuma equation introduced in [Adem et al., 2020]. For the cases of n = 0, 1, 2, under given parameter conditions, the bifurcations of traveling wave solutions in the parameter space are investigated for the corresponding traveling systems. All possible explicit exact parametric representations of various solutions are obtained.

• Institution
  浙江师范大学