Results 51 to 60 of about 3,940,396 (270)
Modern Physics Letters B, 2022 Hirota’s bilinear method (HBM) has been successfully applied to the [Formula: see text]-dimensional Pavlov equation to analyze the different wave structures in this paper. The [Formula: see text]-dimensional Pavlov equation is used for the study of integrated hydrodynamic chains and Einstein–Weyl manifolds.
Usman Younas +4 more
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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
Parkes, E.J.
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Results in Physics, 2023 In the past, we haven't paid much attention to higher-dimensional models, which are actually more consistent with the real atmosphere. In this manuscript, we derive a high-dimensional Kadomtsev-Petviashvili equation from a fluid system based on the Gardner-Morikawa transformation and the small parameter perturbation method, which is the first time to ...
Na Cao +3 more
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Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]
PLoS ONE, 2018 In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
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Results in Physics, 2021 Based on the N-soliton solutions, the resonant line wave soliton and interaction solutions are derived through some constraints in the (2+1)-dimensional nonlinear wave equation. General resonant line wave soliton solutions are firstly presented and their
Qingqing Chen +3 more
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Kink and breather waves with and without singular solutions to the Zoomeron model
Results in Physics, 2023 Le modèle de Zoomeron est appliqué à divers types de solitons issus de la mécanique des fluides, de l'optique laser et de la physique non linéaire. Nous dérivons des solutions analytiques au modèle mentionné en utilisant l'expansion exp(−λ(ς)), les schémas de Kudryashov généralisés et les schémas de tanh généralisés.
Mohammad Safi Ullah +3 more
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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Breathers on a background: periodic and quasiperiodic solutions of extended discrete nonlinear wave systems [PDF]
Mathematics and Computers in Simulation, 2003 In this paper we investigate the emergence of time-periodic and and time-quasiperiodic (sometimes infinitely long lived and sometimes very long lived or metastable) solutions of discrete nonlinear wave equations: discrete sine Gordon, discrete $ϕ^4$ and discrete nonlinear Schrödinger.
P. G. Kevrekidis, Michael I. Weinstein
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The Multisoliton Solutions for the (2+1)-Dimensional Sawada-Kotera Equation
Abstract and Applied Analysis, 2013 Applying bilinear form and extended three-wavetype of ansätz approach on the (2+1)-dimensional Sawada-Kotera equation, we obtain new multisoliton solutions, including the double periodic-type three-wave solutions, the breather two-soliton solutions, the ...
Zhenhui Xu, Hanlin Chen, Wei Chen
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background We aimed to identify the proportion of individuals with a confirmed diagnosis of childhood absence epilepsy (CAE) or juvenile absence epilepsy (JAE) who show a negative routine EEG (rEEG), and to determine the main factors associated with this finding.
Francesco Fortunato +7 more
wiley +1 more source