Abstract The Jaulent–Miodek (JM) system is investigated analytically in this study. The JM
equation comes with energy-dependent Schrödinger potential which is used in fluid …

Stochastic equations are powerful mathematical tools used to study systems having random
effects. The current manuscript studies the two distinct systems: the stochastic conformable …

In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

In this article, the nonlinear fractional Kudryashov's equation and the space–time fractional
nonlinear Tzitzeica–Dodd–Bullough (TDB) equation are solved using the new auxiliary …

This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-
Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize …

In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

In present research work, the soliton solutions of the space-time fractional modified third
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …

The main goal of this paper is to propose an efficient technique in solving partial differential
equations inspired by the improvement of a known method. To this end, we modified the …

In this work, we consider the (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov
equation with power law nonlinearity. Solitary wave solutions, soliton wave solutions, elliptic …

In our research, we ascertain abundant novel exact traveling wave solutions of (2+ 1)-
dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new …