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Toplam kayıt 25, listelenen: 1-10
The reaction-cross-diffusion models for tissue growth
(John Wiley and Sons Ltd, 2021)
The application of mathematics to fields such as biology, medicine, and biotechnology has resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has emerged. The considered models of ...
Analytical solutions of some nonlinear fractional-order differential equations by different methods
(John Wiley and Sons Ltd, 2021)
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, the space-time fractional Fokas, and the ...
Generalized logistic equation method for Kerr law and dual power law Schrodinger equations
(Springer, 2020)
The Kerr law and dual power law Schrodinger equations for obtaining optical soliton solutions are studied. In this paper, we investigate these equations via generalized logistic equation method. These various kinds of ...
Analytical study on the balancing principle for the nonlinear Klein?Gordon equation with a fractional power potential
(Elsevier, 2020)
[No Abstract Available]
Lie group analysis and exact solutions of nonlinear dispersive equations for porous media
(Springer Science and Business Media Deutschland GmbH, 2022)
Dispersive equations have recently been attractive in the nonlinear wave phenomena appearing in many applications of science and engineering. In this work, the symmetry solutions of the dispersive equation with porous ...
Population Balances Involving Aggregation and Breakage Through Homotopy Approaches
(Walter De Gruyter Gmbh, 2018)
Homotopy techniques in nonlinear problems are getting increasingly popular in engineering practice. The main reason is because the homotopy method deforms continuously a difficult problem under study into a simple problem, ...
Exact solutions for the third-order dispersive-Fisher equations
(Springer, 2018)
In this study, we reveal the exact solutions of the third-order semilinear and nonlinear dispersive equations containing Fisher-like nonlinearity, i.e. dispersion-reaction models, which can be used in physical and engineering ...
On solutions of the fifth-order dispersive equations with porous medium type non-linearity
(Taylor & Francis Ltd, 2018)
In this work, we focus on obtaining the exact solutions of the fifth-order semi-linear and non-linear dispersive partial differential equations, which have the second-order diffusion-like (porous-type) non-linearity. The ...
Modified Multi-Frequency Homotopy Analysis Method for Evolution Equations
(Amer Inst Physics, 2017)
A new modification of homotopy analysis method (HAM) is considered for nonlinear evaluation equations. The auxiliary differential operator is chosen respect to the order of nonlinearity of the equation. Asymmetric and ...
Observations on the class of Balancing Principle for nonlinear PDEs that can be treated by the auxiliary equation method
(Pergamon-Elsevier Science Ltd, 2015)
There is collection of methods for finding explicit travelling wave solutions of nonlinear partial differential equations (NLPDEs) in the literature. Quite a large amount of these methods employ Balancing Principle in their ...