Exact solutions of four generalized Benjamin–Bona–Mahony equations with any order

Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity

“…The study of nonlinear evolution equations (NLEEs) has been going on for quite a few decades now [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. There has been several improvements that are noticed.…”

Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

“…To obtain the traveling wave solutions to these nonlinear evolution equations, many methods were attempted, such as the inverse scattering method [5], Hirotas bilinear transformation [6], the tanhsech method, extended tanh method, sine-cosine method [7], homogeneous balance method, Bäcklund transformation [8], the theory of Weierstrass elliptic function method [9], the factorization technique [10,11], the Wadati trace method, pseudospectral method, Exp-function method, and the Riccati equation expansion method were used to investigate these types of equations [12,13]. The above methods derived many types of solutions from most nonlinear evolution equations [14].…”