Results 11 to 20 of about 2,945 (146)
On exploring optical solutions to the Hirota equation through an efficient analytical method
Results in Physics, 2021 In this paper, a direct approach, namely the generalized exponential rational function method is utilized to extract diverse collection of exact solutions to the (2+1)-dimensional Hirota equation.
B. Günay
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Journal of Taibah University for Science, 2022 The nonlinear conformable fractional Schrödinger–Hirota (NCFSH) equation, describing the propagation of optical solitons in a dispersive optical fibre, is considered and its exact solutions are investigated.
Meryem Odabasi Koprulu
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Single-Soliton Solution of KdV Equation via Hirota’s Direct Method under the Time Scale Framework
Advances in Mathematical Physics, 2022 Hirota’s direct method is one significant way to obtain solutions of soliton equations, but it is rarely studied under the time scale framework. In this paper, the generalized KdV equation on time-space scale is deduced from one newly constructed Lax equation and zero curvature equation by using the AKNS method, which can be reduced to the classical ...
Yuan Kong +6 more
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The (3+1)-dimensional Boussinesq equation: Novel multi-wave solutions
Results in Physics, 2023 The Boussinesq equation is a partial differential equation that describes the behavior of waves in shallow water. In this paper, we address some new dynamical behaviors to the (3+1)-dimensional Boussinesq equation, which are not constructed beforehand ...
Hajar Farhan Ismael
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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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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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Soliton solutions of q-Toda lattice by Hirota direct method [PDF]
Advances in Difference Equations, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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