Results 1 to 10 of about 1,020 (214)
Wronskian and Grammian solutions for the (2+1)-dimensional BKP equation [PDF]
Theoretical and Applied Mechanics Letters, 2014 The (2 + 1)-dimensional BKP equation in the Hirota bilinear form is studied during this work. Wronskian and Grammian techniques are applied to the construction of Wronskian and Grammian solutions of this equation, respectively.
Yaning Tang
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KdV-type Wronskian rational solutions to the (4+1)-dimensional Fokas equation
Partial Differential Equations in Applied Mathematics, 2022 The purpose of this paper is to discuss the (4+1)-dimensional Fokas equation, which has been investigated as an integrable generalization of the KP equation and the DS equation.
Li Cheng
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Wronskian indices and rational conformal field theories [PDF]
Journal of High Energy Physics, 2021 The classification scheme for rational conformal field theories, given by the Mathur-Mukhi-Sen (MMS) program, identifies a rational conformal field theory by two numbers: (n, l). n is the number of characters of the rational conformal field theory.
Arpit Das +2 more
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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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A polynomial conjecture connected with rogue waves in the KdV equation
Partial Differential Equations in Applied Mathematics, 2021 A polynomial conjecture, associated with rational solutions including rogue wave solutions of the KdV equation, is presented. The conjecture can be used to show that for the bilinear KdV equation, an arbitrary linear combination of two Wronskian ...
Wen-Xiu Ma
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Partial Differential Equations in Applied Mathematics, 2021 New generalized (2+1)-dimensional Boussinesq system with variable coefficients has been introduced. A double Wronskian solutions has been formulated to the new system under certain constraints on the variable coefficients.
Alrazi Abdeljabbar
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Possible scenarios transgressing the nondegeneracy theorem [PDF]
Revista Brasileira de Ensino de Física, 2023 In contrast to the nondegeneracy theorem, we present various scenarios in one-dimensional quantum mechanics that demonstrate how the Wronskian of two bound-state eigenfunctions with the same energy eigenvalue can be zero without implying that the ...
Luiz G.M. Ramos, Antonio S. de Castro
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Boson-Fermion correspondence, QQ-relations and Wronskian solutions of the T-system
Nuclear Physics B, 2021 It is known that there is a correspondence between representations of superalgebras and ordinary (non-graded) algebras. Keeping in mind this type of correspondence between the twisted quantum affine superalgebra Uq(gl(2r|1)(2)) and the non-twisted ...
Zengo Tsuboi
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Российский технологический журнал, 2023 Objectives. The work sets out to study the properties of the Wrońskian determinant of the system of solutions to a linear homogeneous equation in cases when the number of solutions is less than the order of the equation, comparing them with the known ...
D. A. Khrychev
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Exact solutions of a (3+1)-dimensional nonlinear evolution equation based on its Wronskian form
Partial Differential Equations in Applied Mathematics, 2022 In this paper, the Hirota bilinear method is applied to investigate the exact solutions of a (3+1)-dimensional nonlinear evolution equation. The soliton, breather and lump solutions satisfying specific Wronskian conditions are obtained.
Yaning Tang, Zaijun Liang
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