Results 1 to 10 of about 436 (97)
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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Soliton solutions by means of Hirota bilinear forms
Partial Differential Equations in Applied Mathematics, 2022 The paper aims to provide a brief overview of soliton solutions obtained through the Hirota direct method. A bilinear formulation of soliton solutions in both (1+1)-dimensions and (2+1)-dimensions is discussed, together with applications to various ...
Wen-Xiu Ma
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ON THE POTENTIALITY OF A CLASS OF OPERATORS RELATIVE TO LOCAL BILINEAR FORMS
Ural Mathematical Journal, 2021 The inverse problem of the calculus of variations (IPCV) is solved for a second-order ordinary differential equation with the use of a local bilinear form.
Svetlana A. Budochkina +1 more
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The soliton solutions for semidiscrete complex mKdV equation [PDF]
ITM Web of Conferences, 2020 The semidiscrete complex modified Korteweg–de Vries equation (semidiscrete cmKdV), which is the second member of the semidiscrete nonlinear Schrődinger hierarchy (Ablowitz–Ladik hierarchy), is solved using the Hirota bilinear formalism.
Babalic Corina N.
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Bilinear form and exact solutions for a new extended (2+1)-dimensional Boussinesq equation
Results in Physics, 2021 In this article, a new extended (2+1)-dimensional Boussinesq equation which can be used to describe the propagation of shallow water waves, was investigated.
Ping Cui
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A Multi-Timescale Bilinear Model for Optimization and Control of HVAC Systems with Consistency
Energies, 2021 Reducing the energy consumption of the heating, ventilation, and air conditioning (HVAC) systems while ensuring users’ comfort is of both academic and practical significance.
Zelin Nie, Feng Gao, Chao-Bo Yan
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Counting smaller trees in the Tamari order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We introduce new combinatorial objects, the interval-posets, that encode intervals of the Tamari lattice. We then find a combinatorial interpretation of the bilinear form that appears in the functional equation of Tamari intervals described by Chapoton ...
Grégory Chatel, Viviane Pons
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Barekeng, 2022 A Frobenius Lie algebra is recognized as the Lie algebra whose stabilizer at a Frobenius functional is trivial. This condition is equivalent to the existence of a skew-symmetric bilinear form which is non-degenerate.
Edi Kurniadi
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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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