Results 11 to 20 of about 128 (120)
A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
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Discrete Dynamics in Nature and Society, 2018 An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation. Hamiltonian structure of obtained integrable family is established.
Xi-Xiang Xu, Meng Xu
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The solution of some persistent $p : -q$ resonant center problems
Electronic Journal of Qualitative Theory of Differential Equations, 2018 The notion of $p:-q$ resonant center was introduced recently and studied by several authors. In this paper we generalize the notion of a persistent center to a persistent $p:-q $ resonant center and find conditions for existence of a persistent $p:-q ...
Maja Zulj +2 more
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On a class of Darboux-integrable semidiscrete equations
Advances in Difference Equations, 2017 We consider a classification problem for Darboux-integrable hyperbolic semidiscrete equations. In particular, we obtain a complete description for a special class of equations admitting four-dimensional characteristic x-rings and two-dimensional ...
Kostyantyn Zheltukhin +2 more
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On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D [PDF]
Theoretical and Applied Mechanics, 2017 The first integrals of the reduced three-wave interaction problem, the Rabinovich system, the Hindmarsh-Rose model, and the Oregonator model are derived using the method of Darboux polynomials.
Esen Oğul +2 more
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Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
Symmetry, Integrability and Geometry: Methods and Applications, 2012 In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In particular,
Primitivo B. Acosta-Humánez +1 more
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Explicit Solutions and Conservation Laws for a New Integrable Lattice Hierarchy
Complexity, 2019 An integrable lattice hierarchy is derived on the basis of a new matrix spectral problem. Then, some properties of this hierarchy are shown, such as the Liouville integrability, the bi-Hamiltonian structure, and infinitely many conservation laws.
Qianqian Yang, Qiulan Zhao, Xinyue Li
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Advances in Mathematical Physics, 2014 We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
H. Chachou Samet +3 more
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Land Degradation &Development, Volume 37, Issue 15, Page 10911-10926, September 2026.ABSTRACT The microtopographic characteristics of terrain are modified by soil management and conservation practices, affecting water infiltration, storage, runoff generation, and sediment transport. However, assessing soil microtopography at representative spatial scales remains challenging and time‐consuming.
Jhonatan Spliethoff +5 more
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
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