We perform a detailed study on the completely non-integrable forced damped
Gardner/Extended Kawahara equation (FDEKE). Three techniques are introduced to …

In this paper, we investigate the (2+ 1) dimensional nonlinear Rossby waves under non-
traditional approximation. Using the asymptotic methods of multiple scales and weak …

The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

In the present article, Petrov–Galerkin method has been utilized for the numerical solution of
nonlinear time-fractional KdV–Burgers (KdVB) equation. The nonlinear KdV–Burgers …

The finite-time boundary stabilization is investigated for Korteweg–de Vries–Burgers (KdVB)
equations. Firstly, a distributed controller is derived, and criteria are presented to guarantee …

In this paper, we study the higher dimensional nonlinear Rossby waves under the
generalized beta effect. Using methods of the multiple scales and weak nonlinear …

This paper formulates a simple classical radial basis functions (RBFs) collocation (Kansa)
method for the numerical solution of the nonlinear dispersive and dissipative KdV …

In this paper, a numerical solution of the coupled Burgers' equations based on septic B-
spline collocation method is presented. The scheme is based on the Crank–Nicolson …

The element-free Galerkin (EFG) method for numerically solving the compound Korteweg—
de Vries—Burgers (KdVB) equation is discussed in this paper. The Galerkin weak form is …

In this paper, a reduced implicit sixth-order compact finite difference (CFD6) scheme which
combines proper orthogonal decomposition (POD) technique and high-order compact finite …