Generalized logistic equation method for Kerr law and dual power law Schrödinger equations
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 …
solutions are studied. In this paper, we investigate these equations via generalized logistic …
Ablowitz–Kaup–Newell–Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg–de Vries equation in plasma physics, fluid …
YQ Chen, B Tian, QX Qu, H Li, XH Zhao… - … Journal of Modern …, 2020 - World Scientific
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 …
atmospheric flow, cylindrical plasma or interactionless plasma, in this paper, we derive the …
[HTML][HTML] New analytical solitary and periodic wave solutions for generalized variable-coefficients modified KdV equation with external-force term presenting …
RM El-Shiekh, M Gaballah - Journal of Ocean Engineering and Science, 2022 - Elsevier
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 …
term (gvcmKdV) describing atmospheric blocking located in the mid-high latitudes over …
Physically guided deep learning solver for time-dependent Fokker–Planck equation
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 …
To solve the FP equation, this paper proposes a physically guided deep learning-based …
Reduction and analytic solutions of a variable-coefficient Korteweg–de Vries equation in a fluid, crystal or plasma
YQ Chen, B Tian, QX Qu, H Li, XH Zhao… - … Physics Letters B, 2020 - World Scientific
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 …
blood vessel, circulatory system, shallow-water tunnel, lake or relaxation inhomogeneous …
Analytical studies for the Boiti–Leon–Monna–Pempinelli equations with variable and constant coefficients
Z Pinar - Asymptotic Analysis, 2020 - content.iospress.com
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 …
equation. It is generally seen as two-dimensional model, also recently the model is seen in …
An analytical studies of the reaction-diffusion systems of chemical reactions
Z Pinar - International Journal of Applied and Computational …, 2021 - Springer
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 …
behaviorus. In this work, Schnakenberg, Brusselator and Lengyel–Epstein models are …
The reaction–cross‐diffusion models for tissue growth
Z Pinar - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The application of mathematics to fields such as biology, medicine, and biotechnology has
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …
resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has …
Simulations of surface corrugations of graphene sheets through the generalized graphene thermophoretic motion equation
Z Pinar - … Journal of Computational Materials Science and …, 2020 - World Scientific
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 …
applications in various disciplines and nanotechnology. Graphene is the best nanoscale …
On the Hermite and Mathieu Special Characterizations to the Logarithmic Zakharov–Kuznetsov Equations
Z Pinar, HM Baskonus, P Veeresha, W Gao - International Journal of …, 2024 - Springer
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 …
Zakharov–Kuznetsov (ZK) equations using an efficient technique called the special function …