Results 31 to 40 of about 5,895,681 (193)
Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
Results in Physics, 2018 In this letter, we apply two different ansatzs for constructing the lump soliton and mixed lump strip solutions of (3+1)-dimensional soliton equation, which is associating with the Hirota bilinear form.
Jiangen Liu, Yufeng Zhang
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Partial Differential Equations in Applied Mathematics, 2022 Bilinearization of nonlinear partial differential equations (PDEs) is essential in the Hirota method, which is a widely used and robust mathematical tool for finding soliton solutions of nonlinear PDEs in a variety of fields, including nonlinear dynamics, mathematical physics, and engineering sciences.
Sachin Kumar, Brij Mohan
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Results in Physics, 2022 The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu +5 more
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Hirota bilinear forms of the AKNS($N$) systems
, 2020 We study the AKNS($N$) hierarchy for $N=3,4,5,6$. We give the Hirota bilinear forms of these systems and present local and nonlocal reductions of them. We give the Hirota bilinear forms of the reduced equations. The compatibility of the commutativity diagrams of the application of the recursion operator, reductions of the AKNS($N$) systems, and Hirota ...
Gürses, Metin, Pekcan, Aslı
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A bilinear approach to a Pfaffian self-dual Yang-Mills equation [PDF]
, 2001 By using the bilinear technique of soliton theory, a pfaffian version of the SU(2) self-dual Yang-Mills equation and its solution is ...
Gilson, C.R., Ohta, Y., Nimmo, J.J.C.
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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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Results in Physics, 2021 With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed.
Haixia Zhang +4 more
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Hints on the Hirota Bilinear Method [PDF]
, 2007 We discuss four stages of the Hirota bilinear method, for construction of soliton solutions to partial differential equations: the proper substitution to express the equation in the bilinear variables (1), reduction of the excess degrees of freedom (2 ...
Goldstein, P.
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Robust filtering for bilinear uncertain stochastic discrete-time systems [PDF]
, 2002 Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Qiao, H, Wang, Z
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, 2023 The purpose of this research paper is to investigate the (3+1)-dimensional Hirota bilinear equation that arises in nonlinear waves in fluid dynamics, plasma physics and shallow water waves.
Nehad Ali Shah +5 more
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