Results 21 to 30 of about 13,576,874 (171)
Hirota derivatives and representation theory [PDF]
, 2001 It is shown that the Hirota derivative can be used to construct the plethysm for tensor products of representations of {sl}_2(k)
Athorne, C.
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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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Open Physics, 2021 This research paper uses a direct algebraic computational scheme to construct the Jacobi elliptic solutions based on the conformal fractional derivatives for nonlinear partial fractional differential equations (NPFDEs). Three vital models in mathematical
Gepreel Khaled A., Mahdy Amr M. S.
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The Method of Hirota Bilinearization [PDF]
, 2023 Bilinearization of a given nonlinear partial differential equation is very important not only to find soliton solutions but also to obtain other solutions such as the complexitons, positons, negatons, and lump solutions.
Gürses, Metin, Pekcan, Aslı
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Advances in Difference Equations, 2017 A ( 2 + 1 ) $(2+1)$ -dimensional nonlinear Schrödinger equation is mainly discussed. Based on the Hirota direct method and the Wronskian technique, multiple-soliton solutions and a generalized double Wronskian determinant are obtained, respectively.
Liu Gao, Li Cheng
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Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
Results in Physics, 2023 One of the most effective ways to understand nonlinear quantum systems is with lump solutions. The objective of this study is to acquire more about the (3+1)-dimensional soliton equation.
Hajar F. Ismael +4 more
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Domain Structure Formation in Designing of the Opened Informative Measuring Systems
Приборы и методы измерений, 2022 The opened systems possess an increasing significance and possibilities of applying in designing of measuring devices. Now an essentially nonlinear models are used for such systems. The perturbation approach is not enough for these purposes.
M. A. Knyazev
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Journal of Advanced Research, 2022 Introduction: The multiple Exp-function scheme is employed for searching the multiple soliton solutions for the fractional generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky- Konopelchenko equation.
Mingchen Zhang +4 more
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Diversity of Interaction Solutions of a Shallow Water Wave Equation
Complexity, 2019 In this paper, we study the diversity of interaction solutions of a shallow water wave equation, the generalized Hirota–Satsuma–Ito (gHSI) equation. Using the Hirota direct method, we establish a general theory for the diversity of interaction solutions,
Jian-Ping Yu +4 more
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Exact Solutions of Boussinesq Equations By Hirota Direct Method
Afyon Kocatepe University Journal of Sciences and EngineeringBoussinesq Equations (BSQ) are the focus of this article. First, we provide a basic overview of Hirota's D operator, which is used to build multi-soliton solutions for equations involving nonlinear evolution. After that, some details regarding fourth-order BSQ are provided, and we use Hirota's direct method to find a one-solution solution.
Halide Gümüş, Abdullah Baykal
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