Results 11 to 20 of about 86,877,915 (235)
Quasi-periodic solutions of Hamiltonian PDEs [PDF]
Journées équations aux dérivées partielles, 2012 We overview recent existence results and techniques about KAM theory for PDEs.
Massimiliano Berti +2 more
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Periodic solutions to PDEs with fractional diffusion [PDF]
, 2016 The aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable nonlinear problem in one dimension.
Felipe Navarro, Juan Carlos
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Cao, J. +4 more
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Some periodic and solitary travelling-wave solutions of the short pulse equation [PDF]
, 2008 Exact periodic and solitary travelling-wave solutions of the short pulse equation are ...
Parkes, E.J.
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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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Study on the Nonlinear Dynamics of the (3+1)-Dimensional Jimbo-Miwa Equation in Plasma Physics
Axioms, 2023 The Jimbo-Miwa equation (JME) that describes certain interesting (3+1)-dimensional waves in plasma physics is studied in this work. The Hirota bilinear equation is developed via the Cole-Hopf transform.
Peng Xu +3 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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Axioms, 2023 This paper provides an investigation on nonlinear dynamic behaviors of the (3+1)-dimensional B-type Kadomtsev—Petviashvili equation, which is used to model the propagation of weakly dispersive waves in a fluid.
Kang-Jia Wang +3 more
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Results in Physics, 2022 This paper gives a study to the system of ion sound and Langmuir waves (SEISLWs). Seven sets of the traveling wave solutions (TWSs) like the bright solitary (Type-1, Type-2, Type-3, Type-4), kinky bright solitary, dark solitary and periodic wave ...
Kang-Jia Wang, Guo-dong Wang
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Approximation of periodic PDE solutions with anisotropic translation invariant spaces [PDF]
2017 International Conference on Sampling Theory and Applications (SampTA), 2017 We approximate the quasi-static equation of linear elasticity in translation invariant spaces on the torus. This unifies different FFT-based discretisation methods into a common framework and extends them to anisotropic lattices. We analyse the connection between the discrete solution spaces and demonstrate the numerical benefits.
Bergmann, Ronny, Merkert, Dennis
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