Results 1 to 10 of about 998,269 (325)

Nonlinear deterministic equations in biological evolution [PDF]

Journal of Nonlinear Mathematical Physics, 2011
We review models of biological evolution in which the population frequency changes deterministically with time. If the population is self-replicating, although the equations for simple prototypes can be linearised, nonlinear equations arise in many ...
Baake E., Baake E., Boe L., Brumer Y., Bürger R., Crow J. F., Crow J. F., de Visser J. A. G. M., Drake J. W., Durrett R., Eigen M., Eigen M., Eshel I., Ewens W. J., Hartl D. L., Higgs P. G., Izmailian N. Sh., Jacobi M. N., Jain K., Jain K., Jain K., Jain K., Jones B., Kamp C., Kimura M., Komarova N. L., Kouyos R. D., LeClerc J. E., Nagar A., Nilsson M., Nilsson M., Nowak M. A., Nowak M. A., Nowak M. A., Otto S. P., Park S.-C., Perelson A. S., Quer J., Saakian D. B., Sardanyes J., Seetharaman S., Smith J. Maynard, Sniegowski P. D., Sorace A., Sturtevant A. H., Tannenbaum E., Thompson C. J., Wiehe T., Wiehe T., Wilke C. O., Woodcock G.   +50 more
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The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics

Abstract and Applied Analysis, 2014
We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation ...
E. M. E. Zayed, K. A. E. Alurrfi
doaj   +2 more sources

Nonlinear Evolution Equations

, 2019
Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research methods of infinite dimensional dynamical systems are discussed in detail.
Chen, Fei, Shao, Jing, Luo, Ting, Guo, Boling   +3 more
openaire   +3 more sources

Wave profile analysis of a couple of (3+1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach

Journal of Ocean Engineering and Science, 2021
The (3+1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-Kuznetsov equations have a significant impact in modern science for their widespread applications in the theory of long-wave propagation, dynamics of shallow water wave, plasma ...
Md. Rezwan Ahamed Fahim, Purobi Rani Kundu, M. Islam, M. Akbar, M. Osman   +4 more
semanticscholar   +1 more source

The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

, 2021
This work studies two important temporal fractional nonlinear evolution equations, namely the (2+1)-dimensional Chaffee–Infante equation and (1+1)-dimensional Zakharov equation by way of the unified method along with properties of local M-derivative. The
N. Raza, M. Rafiq, M. Kaplan, Sunil Kumar, Yuming Chu   +4 more
semanticscholar   +1 more source

On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations [PDF]

Open Communications in Nonlinear Mathematical Physics
We derive the general conditions for fully-nonlinear symmetry-integrable second-order evolution equations and their first-order recursion operators. We then apply the established Propositions to find links between a class of fully-nonlinear third-order ...
Marianna Euler, Norbert Euler
doaj   +1 more source

Abelian versus non-Abelian Baecklund Charts: some remarks [PDF]

, 2018
Connections via Baecklund transformations among different non-linear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifically, links, via Baecklund transformations, connecting Burgers and KdV-type
Carillo, Sandra, Schiavo, Mauro Lo, Schiebold, Cornelia   +2 more
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Doubly nonlinear stochastic evolution equations II [PDF]

Stochastics and Partial Differential Equations: Analysis and Computations, 2022
27 ...
Scarpa L., Stefanelli U.
openaire   +3 more sources

Solitary wave solutions of few nonlinear evolution equations

AIMS Mathematics, 2020
The solitary wave solutions of nonlinear evolution equations, in the recent years is being attractive in the field of physical sciences and engineering.
A. Hossain, M. Akbar
semanticscholar   +1 more source

Soliton equations: admitted solutions and invariances via B\"acklund transformations [PDF]

Open Communications in Nonlinear Mathematical Physics
A couple of applications of B\"acklund transformations in the study of nonlinear evolution equations is here given. Specifically, we are concerned about third order nonlinear evolution equations.
Sandra Carillo, Cornelia Schiebold
doaj   +1 more source