We study a class of Lakshmanan–Porsezian–Daniel equations endowed with a cubic–
quartic nonlinearity. A highly efficient improved Adomian decomposition approach is …

Many scientific phenomena are linked to wave problems. This paper presents an effective
and suitable technique for generating approximation solutions to multi-dimensional …

This study stems from the growing need for effective mathematical tools to tackle nonlinear
fractional evolution equations, which find wide applications in physics and engineering …

The current work attempts to apply an accurate and numerical strategy to obtain analytical
and approximation soliton solutions to a significant version of the fifth-order KdV equation …

This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed with
multiplicative time noise. The numerical solutions of the governing model are carried out …

In this study, lump, lump one-strip, lump two-strip, rogue wave, manifold periodic type exact
solutions are produced via appropriate transformation scheme by taking into account the …

In this research work, two mathematical models, the (1+ 1)-dimensional cKdV–mKdV
equation and the sinh-Gordon (shG) equation, are studied using an analytical method to …

In this paper, we have solved the non-linear Korteweg-de Vries equation by considering it in
time-fraction Caputo sense and offered intrinsic properties of solitary waves. The fractional …

A gradient reproducing kernel based stabilized collocation method (GRKSCM) to
numerically solve complicated nonlinear Korteweg-de Vries (KdV) equation is proposed in …

Classical Burgers' equation is an indispensable dynamical evolution equation that is
autonomously devised by Burgers and Harry Bateman in 1915 and 1948, respectively. This …