Results 31 to 40 of about 766,070 (327)
Bounded and Periodic Solutions of Semilinear Impulsive Periodic System on Banach Spaces
Fixed Point Theory and Applications, 2008 A class of semilinear impulsive periodic system on Banach spaces is considered. First, we introduce the T0-periodic PC-mild solution of semilinear impulsive periodic system.
Qian Chen +3 more
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Relative Periodic Solutions of the Complex Ginzburg-Landau Equation
, 2005 A method of finding relative periodic orbits for differential equations with continuous symmetries is described and its utility demonstrated by computing relative periodic solutions for the one-dimensional complex Ginzburg-Landau equation (CGLE) with ...
Dang‐Vu H. +7 more
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Different Wave Structures for the (2+1)-Dimensional Korteweg-de Vries Equation
Advances in Mathematical Physics, 2022 In this article, a (2+1)-dimensional Korteweg-de Vries equation is investigated. Abundant periodic wave solutions are obtained based on the Hirota’s bilinear form and a direct test function.
Chun-Rong Qin +4 more
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Alexandria Engineering Journal, 2022 In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed +2 more
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, 2007 Coupled-mode systems are used in physical literature to simplify the nonlinear Maxwell and Gross-Pitaevskii equations with a small periodic potential and to approximate localized solutions called gap solitons by analytical expressions involving ...
A. Pankov +20 more
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On the coexistence of periodic solutions
Journal of Differential Equations, 1970 (p(t; A)) wYyldt2 = > 5 = Pk 4Y, where X is a real parameter, and, for every /\, p(t; h) are real continuous periodic functions with period n defined for all t E (---co, 03). The problem of the coexistence of periodic solutions consists of studying such values of parameter h for which two linearly independent and periodic or hay-periodic1 solutions ...
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Periods of solutions of periodic differential equations
Differential and Integral Equations, 2016 Smooth non-autonomous T-periodic differential equations x'(t)=f(t,x(t)) defined in \R\K^n, where \K is \R or \C and n 2 can have periodic solutions with any arbitrary period~S. We show that this is not the case when n=1. We prove that in the real C^1-setting the period of a non-constant periodic solution of the scalar differential equation is a divisor
Cima, Anna +2 more
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Exact one-periodic and two-periodic wave solutions to Hirota bilinear equations in 2+1 dimensions
, 2008 Riemann theta functions are used to construct one-periodic and two-periodic wave solutions to a class of (2+1)-dimensional Hirota bilinear equations.
Belokolos E. +8 more
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Bifurcation of periodic solutions
Journal of Mathematical Analysis and Applications, 1979 Mechanical and electrical phenomena which can be described mathematically by the bifurcation or appearance of periodic solutions of a nonlinear ordinary different equation when some parameter is varied have been well-known for many years. See Minorsky [7].
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ON PERIODIC SOLUTIONS OF 2-PERIODIC LYNESS' EQUATIONS [PDF]
International Journal of Bifurcation and Chaos, 2013 We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic.
Bastien, Guy +2 more
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