Results 31 to 40 of about 358,156 (289)
Two-peak soliton in the CKP hierarchy [PDF]
, 2006 We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP ...
Cheng, Yi +2 more
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Integrable operators and squares of Hankel operators. [PDF]
, 2008 Integrable operators arise in random matrix teory, where they describe the asymptotic distributions of large self-adjoint random matrices from the generalized unitary ensembles.
Blower, Gordon
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Abstract and Applied Analysis, 2013 New explicit Lie algebras are introduced for which the nonlinear integrable couplings of the Li soliton hierarchy are obtained. Then, the nonlinear integrable couplings of Li soliton hierarchy with self-consistent sources are established.
Han-yu Wei, Tie-cheng Xia
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Motions of Curves in the Projective Plane Inducing the Kaup-Kupershmidt Hierarchy [PDF]
, 2012 The equation of a motion of curves in the projective plane is deduced. Local flows are defined in terms of polynomial differential functions. A family of local flows inducing the Kaup-Kupershmidt hierarchy is constructed.
Musso, Emilio, Emilio Musso, Musso, E.
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Using Vector-Product Loop Algebra to Generate Integrable Systems
Axioms, 2023 A new three-dimensional Lie algebra and its loop algebra are proposed by us, whose commutator is a vector product. Based on this, a positive flow and a negative flow are obtained by introducing a new kind of spectral problem expressed by the vector ...
Jian Zhang +3 more
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On the Lagrangian Structure of Integrable Hierarchies [PDF]
, 2016 We develop the concept of pluri-Lagrangian structures for integrable hierarchies. This is a continuous counterpart of the pluri-Lagrangian (or Lagrangian multiform) theory of integrable lattice systems. We derive the multi-time Euler Lagrange equations in their full generality for hierarchies of two-dimensional systems, and construct a pluri-Lagrangian
Suris, Yuri B., Vermeeren, Mats
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Solving bi-directional soliton equations in the KP hierarchy by gauge transformation [PDF]
, 2006 We present a systematic way to construct solutions of the (n = 5)-reduction of the BKP and CKP hierarchies from the general τ function τn+k of the KP hierarchy.
Cheng, Yi +4 more
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INTEGRABLE HIERARCHIES AND THE WDVV-EQUATIONS [PDF]
Quantum Theory and Symmetries, 2002 In this paper an overview is given of connections between the Witten-Dijkgraaf-Verlinde-Verlinde equations and its generalization and various integrable systems. In particular its link with the $n$-component $KP$-hierarchy is treated in a fairly detailed way.
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Integrable Hamiltonian Hierarchies [PDF]
, 2008 Preface In the past decades now a famous class of evolution equations has been discovered and intensively studied, a class including the nowadays celebrated Korteweg-de Vries equation, sine-Gordon equation, nonlinear Schr ̈odinger equation, etc. The equations from this class are known also as the soliton equations or equations solvable by the so ...
GERDJIKOV, VLADIMIR +2 more
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On the structure of (2+1)-dimensional commutative and noncommutative integrable equations [PDF]
, 2006 We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both commutative and noncommutative cases in the
Jing Ping Wang, Wang, Jing Ping
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