Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Nikolai A. Kudryashov"'
The paper recovers dark and bright cubic–quartic optical solitons with the cubic–quintic–septic– nonic nonlinear Schrödinger’s equation. The bright soliton is subsequently utilized to identify the conserved quantities that are presented wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0cc751b3a0b42ed45e68c7f4a605f78
https://hdl.handle.net/20.500.12445/2600
https://hdl.handle.net/20.500.12445/2600
Publikováno v:
Regular and Chaotic Dynamics. 23:569-579
In this paper we study the problem of constructing and classifying stationary equilibria of point vortices on a cylindrical surface. Introducing polynomials with roots at vortex positions, we derive an ordinary differential equation satisfied by the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b11d3c4eb2fe49193047c2b9bdd72dd
https://doi.org/10.1134/s1560354718050064
https://doi.org/10.1134/s1560354718050064
Publikováno v:
Automatic Control and Computer Sciences. 51:614-620
The process of plastic flow localization in a composite material consisting of welded steel and copper plates under shear strain is considered. The mathematical model of this physical process is formulated. A new numerical algorithm based on the Cour
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d092a253024965ff613cf004cafb8b9
https://doi.org/10.3103/s0146411617070136
https://doi.org/10.3103/s0146411617070136
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 101:105858
The aim of this paper is to develop an effective finite volume method for numerical simulation of the adiabatic shear bands (ASB) formation processes. A formation of ASB happens at high-speed shear strains of ductile materials. A numerical simulation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32ce1b83a231d73858e16fd86774119a
https://doi.org/10.1016/j.cnsns.2021.105858
https://doi.org/10.1016/j.cnsns.2021.105858
Publikováno v:
Journal of Mathematical Analysis and Applications. 449:1570-1580
The Li\'enard equation is used in various applications. Therefore, constructing general analytical solutions of this equation is an important problem. Here we study connections between the Li\'enard equation and some equations from the Painlev\'e--Ga
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2c6639ac1d9709c50ca6330fa9b2794
https://doi.org/10.1016/j.jmaa.2016.12.068
https://doi.org/10.1016/j.jmaa.2016.12.068
Publikováno v:
Lithos. :106086
The Mongol–Okhotsk Belt is one of the major structural elements in East Asia. However, many aspects of the evolution of this structure from the oceanic domain to the suture zone remain unresolved. The most controversial of these aspects are the tim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c140ea54e443cf263f9b349fa5eb0a7
https://doi.org/10.1016/j.lithos.2021.106086
https://doi.org/10.1016/j.lithos.2021.106086
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 38:1-7
A system of equations of two-fluid magnetohydrodynamics is studied. An ordinary differential equation describing traveling waves in an ideal cold quasi-neutral plasma is obtained in the case of quasi-stationary electromagnetic field. The Painleve ana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aba954a6c126aebfd557e22158fe417b
https://doi.org/10.1016/j.cnsns.2016.02.010
https://doi.org/10.1016/j.cnsns.2016.02.010
Publikováno v:
Automatic Control and Computer Sciences. 49:508-513
The features of dissipative structure formation, which is described by the periodic boundary value problem for the Kuramoto–Sivashinsky equation, are investigated. A numerical algorithm based on the pseudospectral method is presented. The efficienc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45b89513dcfc5bf7b9999b38f79931f7
https://doi.org/10.3103/s0146411615070147
https://doi.org/10.3103/s0146411615070147
Autor:
Mibaile Justin, Malwe Boudoue Hubert, Serge Y. Doka, Gambo Betchewe, Nikolai A. Kudryashov, Souleymanou Abbagari
Publikováno v:
The European Physical Journal Plus. 133
In this paper, we investigate the generalized Benjamin-Bona-Mahony equation which better describes long waves with arbitrary power-law nonlinearity. As a result, we obtain exact travelling wave soliton solutions, such as anti-kink soliton solution, b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21e015e9158194d761ea70778d53cc1f
https://doi.org/10.1140/epjp/i2018-11937-8
https://doi.org/10.1140/epjp/i2018-11937-8
Publikováno v:
Automatic Control and Computer Sciences. 48:496-501
In this paper, we consider a nonlinear differential equation for describing nonlinear waves in a liquid with gas bubbles if the liquid viscosity and the interphase heat exchange are accounted for. Classical and nonclassical symmetries of this partial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40dbc4c60149f653197c50ea74407da4
https://doi.org/10.3103/s0146411614070128
https://doi.org/10.3103/s0146411614070128