On the Dark and Bright Solitons to the Negative-Order Breaking Soliton Model with (2+1)-Dimensional

Studying on Kudryashov-Sinelshchikov dynamical equation arising in mixtures liquid and gas bubbles

“…Several methods are used and applied to obtain traveling and oscillating wave solutions. G G -polynomial expansion method [3], modification of truncated expansion method applied [4], Lie symmetry analysis [5,21], F -expansion method and its improved method [6,22], Riccati-Bernoulli sub-ODE method [7], the method of simplest equation [8,9], generalized Kudryashov method [10,11], the approach of dynamical systems [12], Bernoulli sub-equation function method [13,14], modified method of simplest equation [15,28], Expansion function method [16], sine-Gordon expansion method [17], Bifurcation method, improved F-expansion method and modified exp-function method [18,20,24], solutions obtained from a generalized Korteweg-de Vries equation [19], radial basis function method [23], and Long wave limit method [25].…”