A detailed survey of the technique of perturbation theory for nearly integrable systems,
based upon the inverse scattering transform, and a minute account of results obtained by …

Head-on collisions of kink and antikink solitons are investigated numerically in the classical
one-dimensional λ (φ 2− 1) 2 model. It is shown that whether a kink-antikink interaction …

This work is interested in constructing new traveling wave solutions for the coupled
nonlinear Schrödinger type equations. It is shown that the equations can be converted to a …

We study the quantum coherent tunneling between two Bose-Einstein condensates
separated through an oscillating trap potential. The cases of slow and rapid varying in the …

The modified equal width-Burgers (MEW-Burgers) equation is introduced for the first time.
The bifurcation behavior of the MEW-Burgers equation is studied. Considering an external …

This form clearly indicates the deformation of the soliton due to the external noise. Very
recently, Ishiwata et a].(IOWT, for short) numerically studied a random Toda lattice.” Two …

Propagation of nonlinear shock waves for the generalised Oskolkov equation and dynamic
motions of the perturbed Oskolkov equation are investigated. Employing the unified method …

The dynamical behaviour of a reduction of the forced (and damped) Korteweg-de Vries
equation is studied numerically. Chaos arising from subharmonic instability and homoclinic …

Abstract The generalized Kadomtsev–Petviashvili modified equal width-Burgers (KP-MEW-
Burgers) equation is introduced for the first time. The qualitative change of the traveling …

In this work, we developed a hybrid scheme for Gilson–Pickering equation by extracting
advantageous features of collocation method and B-splines. Collocation method involves …