Solitary waves of Boussinesq equation in a power law media

On the “ $${\hat{\varvec{kp}}}$$ k p ^ -operator”, new extension of the KdV6 to (m + 1)-dimensional equation and traveling waves solutions

“…Solvability of these coupled equations occupies a wide area in the literature [18,19], and they are studied by using a variety of methods [2][3][4][5][6][7][8][9][10][11][12][13]. A class of higher-order nonlinear wave equations, among the KdV6 equation [20], are studied to inspect completely integrability.…”

Soliton Solution of Good Boussinesq Equation

“…was solved for 1-soliton solution by using the Ansatz method and the G /G expansion method in two papers [1,6], respectively. These results were extended further to obtain more different analytical solutions by the mapping method and the singular soliton solutions are specifically constructed by the Weierstrass elliptic function method [15].…”

Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion

“…The dynamics of shallow water waves along ocean and sea shores are modeled by several forms of nonlinear evolution equations (NLEEs) [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]. A few of the well-known models are Korteweg-de Vries (KdV) equation, Peregrine equation, Benjamin-Bona-Mahoney equation.…”