Communications In Nonlinear Science And Numerical Simulation Pdf

communications in nonlinear science and numerical simulation pdf

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This paper aims to present some results on nonlinear dynamics in active nanostructures as lasers with quantum wells and erbium doped laser systems using mathematical models, methods, and numerical simulations for some related high energy physics phenomena.

Chaos Quest The Andronov-Shilnikov school in Gorky had pioneered the qualitative theory of dynamical systems and bifurcations. I am very fortunate to be a member of the famous Gorky school. I currently serve on Editorial board of J. Mathematical Neuroscience and J.

Numerical Simulations on Nonlinear Dynamics in Lasers as Related High Energy Physics Phenomena

Main Page. Integrals Special Functions Integral Transforms. EqWorld Forum Other Forums. Mathematics Physics. In recent years, some scietific journals, including highly respected ones, have published a considerable number of articles that contain errors in constructing "new" exact solutions to nonlinear differential equations.

These errors often arise from straightforward application of common computer algebra systems, such as Maple or Mathematical, which can generate large lists of exact solutions. Some authors believe that they obtain new exact solutions by using such systems. However, many of these "new" solutions are equivalent to one another and can be reduced to a single well-known solution, which is revealed by detailed investigation.

Furthermore, it is not uncommon to come across "new" solutions that simply do not solve the original equation—authors perform a number of cumbersome intermediate calculations and forget to verify the result. These and other common errors are addressed in the papers listed below. The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Kudryashov, Seven common errors in finding exact solutions of nonlinear differential equations, Communications in Nonlinear Science and Numerical Simulation , Vol. Kudryashov and N. Kudryashov, Comment on: "A novel approach for solving the Fisher equation using Exp-function method" [Phys. Kudryashov and M. Soukharev, Popular ansatz methods and solitary waves solutions of the Kuramoto-Sivashinsky equation , Regular and Chaotic Dynamics, Vol.

Kudryashov, Unnecessary exact solutions of nonlinear ordinary differential equations , arXiv Kudryashov, P. Ryabov, D. Kudryashov, M. Kudryashov Meromorphic solutions of nonlinear ordinary differential equations , Communications in Nonlinear Science and Numerical Simulation, Vol.

Kudryashov, D. Kudryashov Redundant exact solutions of nonlinear differential equations , Communications in Nonlinear Science and Numerical Simulations,

Communications in Nonlinear Science and Numerical Simulation — Template for authors

Subscription price IJANS publishes original research contributions on mathematical modelling of nonlinear phenomena, fundamental theories, principles and general methods, computational methods and numerical simulations in nonlinear science and engineering, and applications in related areas of science. It discusses the background of practical problems and the establishment of nonlinear models, the development and application of innovative mathematical tools from nonlinear dynamical systems theory for analysing complex problems, new computational methods and computing techniques. Surveys of the field may also be provided. IJANS provides an opportunity for interdisciplinary science research and a lively forum for the communication of original research. Its objective is the timely dissemination of original research work on applied nonlinear science and numerical calculations. The audience of IJANS consists of nonlinear scientists, researchers, computational scientists, applied mathematicians, physicists, engineers, chemists, biologists, statisticians, economists and graduate students.

The journal publishes original research findings on experimental observation , mathematical modeling , theoretical analysis and numerical simulation , for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science. The submission of manuscripts with cross-disciplinary approaches in nonlinear science is particularly encouraged. Topics of interest:. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Short Communications.

Before submission check for plagiarism via Turnitin. Typeset is a very innovative solution to the formatting problem and existing providers, such as Mendeley or Word did not really evolve in recent years. Guideline source: View. All company, product and service names used in this website are for identification purposes only. All product names, trademarks and registered trademarks are property of their respective owners.

modeling, theoretical analysis and numerical simulation, for more accurate description, attractors and chaos, Computational methods in nonlinear science, Analytical submit your manuscript as a single Word or PDF file to be used in the.

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Google Scholar profile for Shane Ross publications listed by year. Wind dispersal of natural and biomimetic maple samaras , under review. Preprint at arXiv

Kolade M. Ginzburg-Landau equation has a rich record of success in describing a vast variety of nonlinear phenomena such as liquid crystals, superfluidity, Bose-Einstein condensation and superconductivity to mention a few. Fractional order equations provide an interesting bridge between the diffusion wave equation of mathematical physics and intuition generation, it is of interest to see if a similar generalization to fractional order can be useful here. Non-integer order partial differential equations describing the chaotic and spatiotemporal patterning of fractional Ginzburg-Landau problems, mostly defined on simple geometries like triangular domains, are considered in this paper. We realized through numerical experiments that the Ginzburg-Landau equation world is bounded between the limits where new phenomena and scenarios evolve, such as sink and source solutions spiral patterns in 2D and filament-like structures in 3D , various core and wave instabilities, absolute instability versus nonlinear convective cases, competition and interaction between sources and chaos spatiotemporal states.

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Citations per year

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