The Kerr law and dual power law Schrödinger equations for obtaining optical soliton
solutions are studied. In this paper, we investigate these equations via generalized logistic …

For a variable-coefficient Korteweg–de Vries equation in a lake/sea, two-layer liquid,
atmospheric flow, cylindrical plasma or interactionless plasma, in this paper, we derive the …

In this study, the generalized modified variable-coefficient KdV equation with external-force
term (gvcmKdV) describing atmospheric blocking located in the mid-high latitudes over …

Abstract The Fokker–Planck (FP) equation is of significant relevance in stochastic dynamics.
To solve the FP equation, this paper proposes a physically guided deep learning-based …

In this paper, a variable-coefficient KdV equation in a fluid, plasma, anharmonic crystal,
blood vessel, circulatory system, shallow-water tunnel, lake or relaxation inhomogeneous …

The best known model of incompressible fluid is Boiti–Leon–Manna–Pempinelli (BLMP)
equation. It is generally seen as two-dimensional model, also recently the model is seen in …

Reaction–diffusion systems are seen in not only many fields of science but also social
behaviorus. In this work, Schnakenberg, Brusselator and Lengyel–Epstein models are …

The application of mathematics to fields such as biology, medicine, and biotechnology has
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …

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 this paper, we find the new travelling wave solutions for several aspects of logarithmic
Zakharov–Kuznetsov (ZK) equations using an efficient technique called the special function …