Results 11 to 20 of about 1,146 (216)
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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Time-periodic solutions of Hamiltonian PDEs using pseudoholomorphic curves
Algebraic & Geometric Topology, 2023 We extend the pseudoholomorphic curve methods from Floer theory to infinite-dimensional phase spaces and use our results to prove the existence of a forced time-periodic solution to a general Hamiltonian PDE with regularizing nonlinearity. In particular, when the nonlinearity is sufficiently regularizing, bounded and time-periodic, we prove an infinite-
Fabert, Oliver, Lamoree, Niek
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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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Diverse Soliton Structures of the (2+1)-Dimensional Nonlinear Electrical Transmission Line Equation
Advances in Mathematical Physics, 2022 In this work, the (2+1)-dimensional nonlinear electrical transmission line equation (NETLE) is investigated by applying three recent technologies, namely, the variational approach, Hamiltonian approach, and energy balance approach.
Peng-Fei Li, Kang-Jia Wang
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Axioms, 2022 This study focuses on investigating the modified Benjamin-Bona-Mahony equation that is used to model the long wave in nonlinear dispersive media of the optical illusion field.
Kang-Jia Wang
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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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Alexandria Engineering Journal, 2023 In this study, we solve fractional order PDEs with free parameters that regulate wave motion in a low-pass electrical transmission line equation (LPET) using the unified technique. To convert the governing equation into an ordinary differential equation (
Foyjonnesa +4 more
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