In this study, we reveal the exact solutions of the third-order semilinear and nonlinear
dispersive equations containing Fisher-like nonlinearity, ie dispersion-reaction models …

Abstract In this work, Bagley-Torvik equation is considered with conformable derivatives.
The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …

In this work, we investigate exact solutions of some fractional‐order differential equations
arising in mathematical physics. We consider the space‐time fractional Kaup‐Kupershmidt …

Optical fibers have a major role in the industry and daily life. To simulate the pulse
propagation in optical fibers, numerous models are seen in the literature. In this work, the …

In the current decade, nanomaterials have attracted great attention due to the wide range of
applications in various disciplines and nanotechnology. Graphene is the best nanoscale …

In the literature, although many methods depend on the ansatz solution, there is not any
specific rule to determine the degree of the ansatz ie balancing principle. The problem is …

Metamaterials have emerged as a focal point in contemporary science and technology due
to their ability to drive significant innovations. These engineered materials are specifically …

In this work, we consider that the two-mode equations, especially two-mode Korteweg-de
Vries equation and two-mode Sharma-Tasso-Olver equations, which are used for modelling …

Optical fibers have a major role in the industry and daily life. To simulate the pulse
propagation in optical fibers, numerous models are seen in the literature. In this work, the …

Nowadays, new fractional derivatives are popular instead of the classical derivatives,
Riemann-Liouville, Caputo derivative. In this work, the conformable derivative is considered …