Results 11 to 20 of about 25,043 (257)
Rigorous numerics for PDEs with indefinite tail: existence of a periodic solution of the Boussinesq equation with time-dependent forcing [PDF]
, 2015 We consider the Boussinesq PDE perturbed by a time-dependent forcing. Even though there is no smoothing effect for arbitrary smooth initial data, we are able to apply the method of self-consistent bounds to deduce the existence of smooth classical ...
Aleksander Czechowski +1 more
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Quasi-periodic solutions of Hamiltonian PDEs [PDF]
, 2012 Massimiliano Berti
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Periodic homogenization of a class of weakly coupled systems of linear PDEs [PDF]
Computational and Applied Mathematics, 2023 In this article, based on probabilistic methods, we discuss periodic homogenization of a class of weakly coupled systems of linear elliptic and parabolic partial differential equations.
Nikola Sandric
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New solitary wave solutions to the coupled Maccari’s system
Results in Physics, 2021 The aim of this study is to find new exact solutions to the coupled Maccaris system by extended rational sine-cosine and rational sinh-cosh methods. By means of these methods, we found some fresh solitons of the above mentioned equation.
Javad Vahidi +5 more
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Open Physics, 2023 This investigation explores two numerical approaches: the optimal auxiliary function method (OAFM) and the new iterative method (NIM). These techniques address the physical fractional-order Klein-Gordon equations (FOKGEs), a class of partial differential
S. Mukhtar +5 more
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Alexandria Engineering Journal, 2023 In this article, we discuss various solitary wave solutions that are extremely important in applied mathematics. In order to construct accurate solution to nonlinear fractional PDEs, we have employed the Khater technique to nonlinear equation for 3 ...
Asghar Ali, Jamshad Ahmad, Sara Javed
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Open Physics, 2023 In this article, first integral method (FIM) is used to acquire the analytical solutions of (3+1)-D Wazwaz–Benjamin–Bona–Mahony and (2+1)-D cubic Klein–Gordon equation. New soliton solutions are obtained, such as solitons, cuspon, and periodic solutions.
Javeed Shumaila +4 more
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Abundant optical soliton structures to the Fokas system arising in monomode optical fibers
Open Physics, 2022 Three effective methods, namely, the simplified extended tanh-function method (SETFM), variational method (VM) and He’s frequency formulation method (HFFM) are employed to investigate the Fokas system that arises in the monomode optical fibers.
Zhang Pei-Ling, Wang Kang-Jia
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Results in Physics, 2023 In this paper, we study the extended (3+1)-dimensional nonlinear conformable Schrödinger equation with cubic–quintic nonlinearity. We use three different methods to obtain exact solutions of this equation: the G′/G expansion method, the extended ...
Mohammad Mirzazadeh +4 more
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New Three Wave and Periodic Solutions for the Nonlinear (2+1)-Dimensional Burgers Equations
Symmetry, 2023 This research paper is about the new three wave, periodic wave and other analytical wave solutions of (2+1)-Dimensional Burgers equations by utilizing Hirota bilinear and extended sinh-Gordon equation expansion (EShGEE) schemes.
W. Razzaq +3 more
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