Analysis establishes solitary waves under singular perturbations, suggesting new solutions in wave dynamics.
In this paper, we apply geometric singular perturbation theory and Melnikov's method to the ‐dimensional extended Kadomtsev–Petviashvili (eKP) equation with singular perturbations. For the first time, we rigorously establish the existence of solitary wave solutions under KS‐type perturbations, proving that two distinct solitary waves with speeds and persist. These theoretical results are supported by numerical simulations.
No takes yet. Share an insight, caveat, or question.
Yan et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: