Results 211 to 220 of about 25,043 (257)

Quasi-Periodic Solutions to Nonlinear PDEs

open access: closedSeries in Contemporary Applied Mathematics, 2019
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.
W.-M. Wang
openalex   +2 more sources

Continuous and discrete periodic asymptotic behavior of solutions to a competitive chemotaxis PDEs system

open access: closedCommunications in nonlinear science & numerical simulation, 2020
Mihaela Negreanu, A.M. Vargas
openalex   +2 more sources

Families of Periodic Solutions of Resonant PDEs

open access: closedJournal of nonlinear science, 2001
Dario Bambusi, Simone Paleari
openalex   +2 more sources

The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs

, 2020
In this paper, some new nonlinear fractional partial differential equations (PDEs) have been considered.Three models are including the space-time fractional-order Boussinesq equation, space-time (2 + 1)-dimensional breaking soliton equations, and space ...
J. Manafian, O. Ilhan, L. Avazpour
semanticscholar   +1 more source

Parallelized computation of quasi-periodic solutions for finite element problems: A Fourier series expansion-based shooting method

arXiv.org
High-dimensional nonlinear mechanical systems admit quasi-periodic solutions that are essential for the understanding of the dynamical systems. These quasi-periodic solutions stay on some invariant tori governed by complex PDEs in hyper-time.
Junqing Wu   +3 more
semanticscholar   +1 more source

Representation and Stability Analysis of 1D PDEs with Periodic Boundary Conditions

IEEE Conference on Decision and Control
PDEs with periodic boundary conditions are frequently used to model processes in large spatial environments, assuming solutions to extend periodically beyond some bounded interval.
Declan S. Jagt   +2 more
semanticscholar   +1 more source

New investigation on soliton solutions of two nonlinear PDEs in mathematical physics with a dynamical property: Bifurcation analysis

Open Physics
To comprehend nonlinear dynamics, one must have access to soliton solutions, which faithfully portray the actions of numerous physical systems and nonlinear equations.
Md Dulal Hossain   +5 more
semanticscholar   +1 more source

New Soliton Solutions to the Space-Time Fractional Boussinesq Equation Using a Reliable Method

International Journal of Analysis and Applications
Fractional partial Differential Equations (FPDEs) play an essential role in interpreting a broad variety of events in various scientific disciplines, including physics, engineering, biology, and economics.
Marwa M. Alzubaidi, M. Almatrafi
semanticscholar   +1 more source

Self-consistent bounds method for dissipative PDEs

arXiv.org
We discuss the method of self-consistent bounds for dissipative PDEs with periodic boundary conditions. We prove convergence theorems for a class of dissipative PDEs, which constitute a theoretical basis of a general framework for construction of an ...
D. Wilczak, Piotr Zgliczy'nski
semanticscholar   +1 more source

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