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AbstractAbstract
[en] The existence of infinitely many subharmonic solutions is obtained for a class of nonautonomous second order Hamiltonian systems with a new superquadratic condition. Furthermore, we can get the existence of homoclinic solutions as the limit of subharmonics under a stronger superquadratic condition which is still weaker than the growth conditions in the references
Primary Subject
Source
S0960-0779(15)00026-0; Available from http://dx.doi.org/10.1016/j.chaos.2015.01.019; Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 73(Complete); p. 183-190

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Miranville, Alain, E-mail: Alain.Miranville@math.univ-poitiers.fr2018
AbstractAbstract
[en] Our aim in this paper is to study the well-posedness and the dissipativity of higher-order anisotropic conservative phase-field systems. More precisely, we prove the existence and uniqueness of solutions and the existence of the global attractor.
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Source
Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; Article Copyright (c) 2016 Springer Science+Business Media New York; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Applied Mathematics and Optimization; ISSN 0095-4616;
; v. 77(2); p. 297-314

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Murgan, Rajan; Silverthorn, Chris, E-mail: rmurgan@svsu.edu, E-mail: cbsilver@svsu.edu2015
AbstractAbstract
[en] The Bethe ansatz solutions for an open XXZ spin chain with arbitrary spin with N sites and nondiagonal boundary terms are revisited. The anisotropy parameter, for cases considered here, has values η=iπ(r/q), where r and q are positive integers with q restricted to odd integers. Numerical results are presented to support the solutions. (paper)
Primary Subject
Source
Available from http://dx.doi.org/10.1088/1742-5468/2015/02/P02001; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of Statistical Mechanics; ISSN 1742-5468;
; v. 2015(2); [18 p.]

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AbstractAbstract
[en] Two types of symmetry of a generalized Zakharov-Kuznetsov equation are obtained via a direct symmetry method. By selecting suitable parameters occurring in the symmetries, we also find some symmetry reductions and new explicit solutions of the generalized Zakharov-Kuznetsov equation.
Primary Subject
Source
Available from http://dx.doi.org/10.1088/0253-6102/45/1/004; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Communications in Theoretical Physics; ISSN 0253-6102;
; v. 45(1); p. 29-32

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AbstractAbstract
No abstract available
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Source
Available from http://dx.doi.org/10.1070/RM2008v063n01ABEH004505; Abstract only; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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AbstractAbstract
[en] We present an expression for the solution to the initial value problem for the ultradiscrete periodic Toda equation. The expression provides explicit forms of all dependent variables of the equation, while the previously known solutions give only half of the dependent variables while the others have to be determined implicitly using the conserved quantities.
Primary Subject
Source
S1751-8113(09)17238-4; Available from http://dx.doi.org/10.1088/1751-8113/42/31/315209; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 42(31); [14 p.]

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Ohta, Yasuhiro; Yang Jianke, E-mail: ohta@math.kobe-u.ac.jp, E-mail: jyang@math.uvm.edu2013
AbstractAbstract
[en] General rogue waves in the Davey–Stewartson (DS)II equation are derived by the bilinear method, and the solutions are given through determinants. It is shown that the simplest (fundamental) rogue waves are line rogue waves which arise from the constant background in a line profile and then retreat back to the constant background again. It is also shown that multi-rogue waves describe the interaction between several fundamental rogue waves, and higher order rogue waves exhibit different dynamics (such as rising from the constant background but not retreating back to it). Under certain parameter conditions, these rogue waves can blow up to infinity in finite time at isolated spatial points, i.e. exploding rogue waves exist in the DSII equation. (paper)
Primary Subject
Source
Available from http://dx.doi.org/10.1088/1751-8113/46/10/105202; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 46(10); [19 p.]

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AbstractAbstract
[en] We construct new families of elliptic solutions of the restricted Toda chain. The main tool is a special (so-called Stieltjes) ansatz for the moments of corresponding orthogonal polynomials. We show that the moments thus obtained are related to three types of Lame polynomials. The corresponding orthogonal polynomials can be considered as a generalization of the Stieltjes-Carlitz elliptic polynomials.
Primary Subject
Source
SIDE 8: International conference on symmetries and integrability of difference equations; Ste-Adele, PQ (Canada); 22-28 Jun 2008; S1751-8113(09)08915-X; Available from http://dx.doi.org/10.1088/1751-8113/42/45/454024; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Literature Type
Conference
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 42(45); [16 p.]

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Xia Yonghui; Han Maoan, E-mail: yhxia@fzu.edu.cn, E-mail: mahan@sjtu.edu.cn2009
AbstractAbstract
[en] A delayed ratio-dependent predator-prey model with non-monotone functional response is investigated in this paper. Some new and interesting sufficient conditions are obtained for the global existence of multiple positive periodic solutions of the ratio-dependent model. Our method is based on Mawhin's coincidence degree and some estimation techniques for the a priori bounds of unknown solutions to the equation Lx = λNx. An example is represented to illustrate the feasibility of our main result.
Primary Subject
Source
S0960-0779(07)00337-2; Available from http://dx.doi.org/10.1016/j.chaos.2007.04.028; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779;
; v. 39(3); p. 1100-1108

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AbstractAbstract
[en] Complete solutions of all primitively parametrizable basis equations in a free monoid are written out. Parametrizing functions Fi, Th, Ro are introduced depending on word variables, positive integer variables, and variables whose values are finite sequences of positive-integer variables. Finite formulae for the family of solutions of all Fi-, Th-, Ro-parametrizable basis equations of the form x1x2x3x4=ψ(x1,x2,x3) in a free monoid are written out with the help of the parametrizing functions.
Primary Subject
Source
Available from http://dx.doi.org/10.1070/SM2004v195n02ABEH000800; Country of input: International Atomic Energy Agency (IAEA)
Record Type
Journal Article
Journal
Sbornik. Mathematics; ISSN 1064-5616;
; v. 195(2); p. 187-235

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