Constructing Analytic Solutions for a Hybrid Korteweg-de Vries-Sawada-Kotera-Ramanie Model: Lump and Breather Waves

In this paper, we investigate the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramanie model, a hybrid model unifying the Korteweg-de Vries and Sawada-Kotera equations. Using a quadratic function method supported by Mathematica, we derive two distinct families of localized lump solutions. By merging exponential and periodic functions, we further construct breather wave solutions. These solutions demonstrate a wide range of dynamical behaviors, emphasizing the equation’s ability to simulate intricate wave interactions.