Results 11 to 20 of about 24,624 (181)
Traveling wave solutions to the Boussinesq equation via Sardar sub-equation technique
AIMS Mathematics, 2022 In present study, the Boussinesq equation is obtained by means of the Sardar Sub-Equation Technique (SSET) to create unique soliton solutions containing parameters. Using this technique, different solutions are obtained, such as the singular soliton, the
Hamood-Ur-Rahman +9 more
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Global exponential stability and existence of periodic solutions of fuzzy wave equations
Advances in Difference Equations, 2020 In this paper, the global exponential stability and the existence of periodic solutions of fuzzy wave equations are investigated. By variable substitution the system of partial differential equations (PDEs) is transformed from second order to first order.
Wei Liu, Yimin Lou
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Axioms, 2023 This paper outlines a study into the exact solutions of the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation that is used to illustrate the ferromagnetic materials of magnetic ordering by applying two recent techniques, namely, the Sardar ...
Feng Shi, Kang-Jia Wang
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Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors [PDF]
SIAM Journal on Mathematical Analysis, 2020 We consider several models (including both multidimensional ordinary differential equations (ODEs) and partial differential equations (PDEs), possibly ill-posed), subject to very strong damping and quasi-periodic external forcing. We study the existence of response solutions (i.e., quasi-periodic solutions with the same frequency as the forcing). Under
Fenfen Wang, Rafael de la Llave
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A direct method for the numerical solution of optimization problems with time-periodic PDE constraints [PDF]
, 2012 In der vorliegenden Dissertation entwickeln wir auf der Basis der Direkten Mehrzielmethode eine neue numerische Methode fur Optimalsteuerungsprobleme (OCPs) mit zeitperiodischen partiellen Differentialgleichungen (PDEs). Die vorgeschlagene Methode zeichnet sich durch asymptotisch optimale Skalierung des numerischen Aufwandes in der Zahl der ortlichen ...
Andreas Potschka
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Quasi-periodic solutions to nonlinear PDEs
Advanced Studies in Pure Mathematics, 2020 We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrodinger and the nonlinear Klein-Gordon equations. These solutions hold in arbitrary dimensions, and the quasi-periodicity can be either in time or space.
Weimin Wang
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Advances in Mathematical Physics, 2018 We apply the generalized projective Riccati equations method with the aid of Maple software to construct many new soliton and periodic solutions with parameters for two higher-order nonlinear partial differential equations (PDEs), namely, the nonlinear ...
A. M. Shahoot +3 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 Summary: In this paper, we investigate the existence of weak quasi-periodic solutions for the second order Hamiltonian system with damped term: \[ \ddot{u}(t)+q(t)\dot{u}(t)+D W(u(t))=0, \qquad t\in \mathbb R,\tag{HSD} \] where \(u:\mathbb R\to \mathbb R^n\), \(q:\mathbb R\to \mathbb R\) is a quasi-periodic function, \(W:\mathbb R^n\to \mathbb R\) is ...
Xingyong Zhang, Liben Wang
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The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions [PDF]
Applicable Analysis, 2011 We implement the new transform method for solving boundary-value problems developed by Fokas for periodic boundary conditions. The approach presented here is neither a replacement for classical methods nor is it necessarily an improvement. However, in addition to establishing that periodic problems can indeed be solved by the new transform method ...
Thomas Trogdon, Bernard Deconinck
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Communications on Pure and Applied Analysis, 2010 In this paper, we consider the long time behavior of a non-autonomous parabolic PDE with a discrete state-dependent delay. We study the existence of compact kernel sections and unique complete trajectory of the corresponding problem. Furthermore, we obtain the (almost) periodic solution which attracts all solutions provided the time dependent
Xiang Li, Zhixiang Li
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