Results 21 to 30 of about 766,070 (327)
Complexity, 2022 In this study, some new hypotheses and techniques are presented to obtain some new analytical solutions (localized and periodic solutions) to the generalized Kawahara equation (gKE).
Haifa A. Alyousef +3 more
doaj +1 more source
Solitons, peakons, and periodic cuspons of a generalized Degasperis-Procesi equation [PDF]
, 2009 We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation. The implicit expression of smooth soliton solutions is given. The explicit expressions of peaked
Tian, Lixin, Zhou, Jiangbo
core +3 more sources
Periodic solutions of a galactic potential [PDF]
Chaos, Solitons & Fractals, 2014 We study analytically the periodic solutions of a Hamiltonian in R^6 given by the kinetic energy plus a galactic potential, using averaging theory of first order. The model perturbs a harmonic oscillator, and has been extensively used in order to describe local motion in galaxies near an equilibrium point.
Llibre, Jaume +2 more
openaire +5 more sources
Axioms, 2019 We show, using the spectral Galerkin method together with compactness arguments, the existence and uniqueness of the periodic strong solutions for the magnetohydrodynamic-type equations with inhomogeneous boundary conditions.
Igor Kondrashuk +3 more
doaj +1 more source
Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory [PDF]
, 2000 We study Bogomolny equations on $R^2\times S^1$. Although they do not admit nontrivial finite-energy solutions, we show that there are interesting infinite-energy solutions with Higgs field growing logarithmically at infinity.
Cherkis, Sergey A., Kapustin, Anton
core +2 more sources
Periods of periodic solutions and the Lipschitz constant [PDF]
Proceedings of the American Mathematical Society, 1969 let x = -Lx2, X2 = Lxi, x =0 for 2 < i < n, then (2) is satisfied letting F(x) = (-Lx2, Lxl, 0, * * *, 0), and all nonconstant solutions are periodic with period 2wr/L. To prove the theorem, we define the functions f(t) = F(x(t)) and N(t) = f(t)I| and y(t) =f(t)/N(t), for tER. The function y(t) is a unit vector tangent to the periodic trajectory.
openaire +2 more sources
Periodic solutions of periodic generalized food limited model
International Journal of Mathematics and Mathematical Sciences, 2001 By using the continuation theorem of coincidence degree theory, the existence of positive periodic solutions for a periodic generalized food limited model with state dependent delays and distributed delays is studied, respectively.
Yongkun Li
doaj +1 more source
Stability and instability for periodic solutions of delay equations with "steplike" feedback
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We consider the stability of periodic solutions of certain delay equations $x'(t) = f(x_t)$ for which the special structure of the equation allows us to define return maps that are semiconjugate to finite-dimensional maps.
Benjamin Kennedy
doaj +1 more source
Periodic Peakon and Smooth Periodic Solutions for KP-MEW(3,2) Equation
Advances in Mathematical Physics, 2021 In this paper, we consider the KP-MEW(3,2) equation by the bifurcation theory of dynamical systems when integral constant is considered. The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.
Junning Cai, Minzhi Wei, Liping He
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 1990 In continuing from previous papers, where we studied the existence and uniqueness of the global solution and its asymptotic behavior as time t goes to infinity, we now search for a time-periodic weak solution u(t) for the equation whose weak formulation ...
Eliana Henriques de Brito
doaj +1 more source