In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

In this work, the novel iterative transformation technique and homotopy perturbation
transformation technique are used to calculate the fractional‐order gas dynamics equation …

In this present investigation, we proposed a reliable and new algorithm for solving time‐
fractional differential models arising from physics and engineering. This algorithm employs …

The novel coronavirus (SARS-CoV-2), or COVID-19, has emerged and spread at fast speed
globally; the disease has become an unprecedented threat to public health worldwide. It is …

In this paper we consider the homotopy analysis transform method (HATM) to solve the time
fractional order Korteweg-de Vries (KdV) and Korteweg-de Vries-Burger's (KdVB) equations …

In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …

This paper employs an efficient technique, namely q-homotopy analysis transform method,
to study a nonlinear coupled system of equations with Caputo fractional-time derivative. The …

Nonlinear phenomena play an essential role in various field of natural sciences and
engineering. In particular, the nonlinear chemical reactions are observed in various …

In this study, we consider conformable type Coudrey–Dodd–Gibbon–Sawada–Kotera
(CDGSK) equation. Three powerful analytical methods are employed to obtain generalized …

In this work, the q-homotopy analysis transform method (shortly q-HATM) which is a
combined form of q-homotopy analysis method and Laplace transform method is employed …