Results 71 to 80 of about 3,184 (198)
Dynamics investigation on a Kadomtsev–Petviashvili equation with variable coefficients
Open Physics, 2022 In this work, we investigate a generalized Kadomtsev–Petviashvili equation with variable coefficients and self-consistent sources in plasma and fluid mechanics.
Peng Li-Juan
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Bilinear Identities and Hirota's Bilinear Forms for an Extended Kadomtsev-Petviashvili Hierarchy [PDF]
, 2013 In this paper, we construct the bilinear identities for the wave functions of an extended Kadomtsev-Petviashvili (KP) hierarchy, which is the KP hierarchy with particular extended flows (2008, Phys. Lett. A, 372: 3819).
Lin, Runliang, Liu, Xiaojun, Zeng, Yunbo
core
Journal of Mathematics, Volume 2026, Issue 1, 2026.The Hirota–Maccari (HM) system is a fundamental model in wave propagation that has been widely utilized to investigate complex nonlinear phenomena in nonlinear optics, optical communications, and mathematical physics. The HM system sheds light on critical insights into soliton dynamics, wave interactions, and other nonlinear effects.
Fei Li +4 more
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Hirota bilinear forms with 2-toroidal symmetry
, 1998 In this note, we compute Hirota bilinear forms arising from both homogeneous and principal realization of vertex representations of 2-toroidal Lie algebras of type $A_l, D_l, E_l$.Comment: 11 pages, AMS-latex ...
Billig +9 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.A new negative‐order form of the (3 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is examined in this investigation. This equation plays an important role in accurately describing the thermodynamic properties of mixtures, particularly in chemical engineering applications.
Ulviye Demirbilek +6 more
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A (2+1)-dimensional sine-Gordon and sinh-Gordon equations with symmetries and kink wave solutions
Nuclear Physics B, 2020 In this paper, a (2+1)-dimensional sine-Gordon equation and a sinh-Gordon equation are derived from the well-known AKNS system. Based on the Hirota bilinear method and Lie symmetry analysis, kink wave solutions and traveling wave solutions of the (2+1 ...
Gangwei Wang +4 more
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Constructing a Supersymmetric Integrable System from the Hirota Method in Superspace
, 2004 An N=1 supersymmetric system is constructed and its integrability is shown by obtaining three soliton solutions for it using the supersymmetric version of Hirota's direct method.Comment: 10 pages, no ...
Carstea +25 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study propounds a detailed report on the exact wave solutions of the complex fractional Ginzburg−Landau equation (CFGLE) with quadratic‐cubic law nonlinearity and (4 + 1)‐dimensional fractional Fokas equation (FFE). For this purpose, the aforementioned equations are transformed into nonlinear ordinary differential equations (NLODEs) within the ...
Özlem Kırcı +4 more
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Non classical interaction aspects to a nonlinear physical model
Results in Physics, 2023 This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 more
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Woody cover and geology as regional‐scale determinants of semi‐arid savanna stability
Remote Sensing in Ecology and Conservation, Volume 11, Issue 5, Page 539-554, October 2025.Savannas are vital for global biodiversity and carbon storage, yet their responses to climate change and human activity remain uncertain. Using remote sensing time series and Bayesian Linear Models, we show that drought resistance and resilience vary regionally, shaped by complex interactions between geology, woody cover, fire regimes, past climate ...
Liezl Mari Vermeulen +5 more
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