Results 21 to 30 of about 5,883,075 (295)
Q-soliton solution for two-dimensional q-Toda lattice
Қарағанды университетінің хабаршысы. Физика сериясы, 2019 The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
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Bilinear forms on the Dirichlet space [PDF]
Analysis & PDE, 2010 v1: 29 ...
ARCOZZI, NICOLA +3 more
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Positively curved bilinear forms [PDF]
Proceedings of the American Mathematical Society, 1986 A characterisation of the positivity of sectional curvature is given in terms of the angular spread of the second fundamental form.
Sarkaria, K. S., Zoltek, S. M.
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Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients
Open Physics, 2016 In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
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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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Interpolation with bilinear differential forms [PDF]
Proceedings of the 44th IEEE Conference on Decision and Control, 2006 We present a recursive algorithm for modeling with bilinear differential forms. We discuss applications of this algorithm for interpolation with symmetric bivariate polynominals, and for computing storage functions for autonomous systems.
Ishan Pendharkar +2 more
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Frontiers in Physics, 2020 In this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz.
Aliyu Isa Aliyu +6 more
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Mathematics, 2022 The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation of Gramians of these systems.
Igor Yadykin
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Primal-Dual Bilinear Programming Solution of the Absolute Value Equation [PDF]
, 2011 We propose a finitely terminating primal-dual bilinear programming algorithm for the solution of the NP-hard absolute value equation (AVE): Ax ? |x| = b, where A is an n n square matrix.
Olvi L. Mangasarian, Mangasarian, Olvi
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Exact solutions of the classical Boussinesq system
Arab Journal of Basic and Applied Sciences, 2018 In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
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