Results 71 to 80 of about 582,098 (170)
Nonlocal symmetries of Frobenius sinh-Gordon systems
Advances in Difference Equations, 2018 In this paper, we consider a weakly coupled sinh-Gordon equation which takes values in a commutative Frobenius subalgebra of gl(2,C) $gl(2,\mathbb {C})$.
Huijuan Zhou +3 more
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Suprathermal Soliton Solutions to Nonlinear Schrödinger Equation
Contributions to Plasma Physics, Volume 66, Issue 3, March 2026.ABSTRACT Maxwell distributions are very difficult to find in the low‐pressure environment far away the Earth atmosphere, permeated by high temperatures, various types of radiation, highly energetic particles, space debris, and subjected to microgravity, presenting crucial challenges for spacecraft design and operations, and affecting astronaut's health.
F. E. M. Silveira +2 more
wiley +1 more source
Momentum conserving defects in affine Toda field theories
Journal of High Energy Physics, 2017 Type II integrable defects with more than one degree of freedom at the defect are investigated. A condition on the form of the Lagrangian for such defects is found which ensures the existence of a conserved momentum in the presence of the defect.
Rebecca Bristow, Peter Bowcock
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Bäcklund Transformations between the KdV Equation and a New Nonlinear Evolution Equation
, 2017 We first give a Bäcklund transformation from the KdV equation to a new nonlinear evolution equation. We then derive two Bäcklund transformations with two pseudopotentials, one of which is from the KdV equation to the new equation and the other from the ...
Xifang Cao
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Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations [PDF]
, 2014 This work presents a new analytical method to transform exact solutions of linear diffusion equations into exact ones for nonlinear advection-diffusion models.
S. Silveira +4 more
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Ain Shams Engineering JournalThis article discusses a new integrable wave equation in (3+1)-dimensions that describes shallow water waves. The auto–Bäcklund and Cole-Hopf transformations are constructed by means of the homogeneous balance approach, which results in numerous new ...
Adil Jhangeer +4 more
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Nonlinear evolution equations: Bäcklund transformations and recursion operators [PDF]
, 1996 The important role played by Bäcklund transformations in investigating nonlinear evolution equations is well known (see, for ...
Sandra Carillo
core
Invariance of the Kaup-Kupershmidt equation and triangular auto-Bäcklund transformations
, 2012 We report triangular auto-Bäcklund transformations for the solutions of a fifth-order evolution equation, which is a constraint for an invariance condition of the Kaup-Kupershmidt equation derived by E. G.
Euler, Marianna,, Euler, Norbert,
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On the One Class of Hyperbolic Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2006 The classification problem is solved for some type of nonlinear lattices. These lattices are closely related to the lattices of Ruijsenaars-Toda type and define the Bäcklund auto-transformations for the class of two-component hyperbolic systems.
Vsevolod E. Adler, Alexey B. Shabat
doaj
Quantum Painlevé Equations: from Continuous to Discrete
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We examine quantum extensions of the continuous Painlevé equations, expressed as systems of first-order differential equations for non-commuting objects. We focus on the Painlevé equations II, IV and V.
Alfred Ramani +2 more
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