The new exact solutions of the Fifth-Order Sawada–Kotera equation using three wave method

Resonance Y-shape solitons and mixed solutions for a (2+1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics

“…If α = 5, t = 36T, β = 5 and u y = 0, equation (1) will be reduced to Sawada-Kotera equation for the long waves in shallow water under the gravity, which have gained many interesting results [34][35][36]. And also be used in lattice dynamics, quantum mechanics and nonlinear optics.…”

Solitary Wave and Singular Wave Solutions for Ivancevic Option Pricing Model

“…Many researchers developed the models to extract wave distributions. In recent years, experts have investigated diferent types of waves based on NPDEs, such as mixed lump wave [9], three-wave [10], breather [11], rogue waves [12], multiple complex soliton [13], bright and dark-soliton [14], complex wave [15], soliton solution [16], travelling wave solutions [17], dark waves [18], and double-wave solutions [19]. On the other hand, soliton theory is one of the widely used theories due to the exact information, such as periodic, singular, dark, bright, complex, and travelling, which can be obtained.…”

Some new kink type solutions for the new (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

“…Various methods have been proposed to explore nonlinear phenomena. For example, three-wave method [6,7], tanh method [8], Bäcklund transformation [9], Darboux transformation [10], Exp-function method [11], Hirota bilinear method [12], homogeneous balance method [13], the generally projective F-expansions [14], (G'/G)-expansion method [15], auxiliary equation method [16], Riccati equation method [17], simplest equation method [18,19], etc.…”