This paper derives a new fractional (3+ 1)-dimensional modified Zakharov–Kuznetsov
equation based on the conformable fractional derivative for the first time. Some new types of …

Under the current research, the local fractional (3+ 1)-dimensional modified Zakharov–
Kuznetsov equation (MZKE) is explored. With the Mittag–Leffler function (MLF) defined on …

A variety of new optical waves solutions of the Fokas-Lenells equation in presence of
perturbation terms is investigated. A new approach is used, namely the generalized …

This work considers the complex Ginzburg–Landau equation with Kerr law nonlinearity,
which is used widely to model soliton propagation in the presence of detuning factor …

In this work, the modified Benjamin–Bona–Mahony equation (MBBME), which has an
important role in the optical illusions field, is investigated by three analytical methods …

This paper examines the effectiveness of an integration scheme which called the extended
trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial …

A variety of new complex waves representing solutions of the complex Ginzburg-Landau
equation with Kerr law nonlinearity is investigated. Two different approaches are used …

Different types of soliton wave solutions for the (3+ 1)-dimensional Kadomtsev-Petviashvili
and the generalized Boussinesq equations are investigated via the solitary wave ansatz …

The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr
and power law nonlinearities. Several integration techniques are applied to retrieve various …

New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of
the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries …