Results 21 to 30 of about 5,895,681 (193)
A novel Hirota bilinear approach to $N=2$ supersymmetric equations [PDF]
, 2023 This article presents a novel application of the Hirota bilinear formalism to the $N=2$ supersymmetric KdV and Burgers equations. This new approach avoids splitting N=2 equations into two $N=1$ equations.
Delisle, Laurent
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Bilinear Identities and Hirota’s Bilinear Forms for the (γ n , σ k )-KP Hierarchy [PDF]
Journal of Nonlinear Mathematical Physics, 2021 In this paper, we discuss how to construct the bilinear identities for the wave functions of the (γn, σk)-KP hierarchy and its Hirota’s bilinear forms. First, based on the corresponding squared eigenfunction symmetry of the KP hierarchy, we prove that the wave functions of the (γn, σk)-KP hierarchy are equal to the bilinear identities given in Sec.3 by
Yehui Huang +4 more
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Double-Periodic Soliton Solutions of the (2+1)-Dimensional Ito Equation
Advances in Mathematical Physics, 2023 In this work, a (2 + 1)-dimensional Ito equation is investigated, which represents the generalization of the bilinear KdV equation. Abundant double-periodic soliton solutions to the (2 + 1)-dimensional Ito equation are presented by the Hirota bilinear ...
Wen-Hui Zhu +4 more
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Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave
Advances in Mathematical Physics, 2021 In the current study, an analytical treatment is studied starting from the 2+1-dimensional generalized Hirota-Satsuma-Ito (HSI) equation. Based on the equation, we first establish the evolution equation and obtain rational function solutions by means of ...
Fan Yong-Yan +4 more
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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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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
Open Physics, 2021 The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R. +4 more
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Bilinear form of the regularized long wave equation and its multi-soliton solutions
Partial Differential Equations in Applied Mathematics, 2022 We consider utmost significant model, namely, the regularized long-wave equation involving dispersion and weedy nonlinearity effects that arises in the nonlinear dynamics of phonon packets in crystals, shallow water, plasma and ion acoustic waves.
Mohammad Mobarak Hossain +2 more
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Multiple rogue wave and multiple lump solutions of a (3+1)-dimensional Korteweg-de Vries equation
上海师范大学学报. 自然科学版, 2021 Based on the Hirota bilinear form, we obtained the multiple rogue wave and multiple lump solutions of a new (3+1)-dimensional Korteweg-de Vries (KdV) equation.
TIAN Hongfei, SUN Yanfang, ZHANG Huiqun
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Lump solutions to nonlinear partial differential equations via Hirota bilinear forms [PDF]
Journal of Differential Equations, 2018 Lump solutions are analytical rational function solutions localized in all directions in space. We analyze a class of lump solutions, generated from quadratic functions, to nonlinear partial differential equations. The basis of success is the Hirota bilinear formulation and the primary object is the class of positive multivariate quadratic functions. A
Wen-Xiu Ma, Yuan Zhou
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Results in Physics, 2023 In this paper, we consider the (2+1)-dimensional generalized Hirota-Satsuma-Ito equation with time-dependent, which has applications in describing the propagation of shallow water waves. Based on the bilinear formalism and with the aid of symbolic computation, we obtain line-soliton, lump, one-lump-one-stripe and one-lump-one-soliton using various ...
Deniu Yang, Xujie Jiang
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