Results 261 to 270 of about 4,590 (301)

Lax pairs galore

Journal of Mathematical Physics, 1991
A formula that yields an (apparently—but only apparently—nontrivial) Lax pair for any nonlinear evolution PDE in 1+1 dimensions possessing a local conservation law is presented. Several examples are exhibited.
CALOGERO F., NUCCI, Maria Clara
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Lax pair formulation for a small‐polaron chain with integrable boundaries

Annalen Der Physik, 1998
Using a fermionic version of the Lax pair formulation, we construct an integrable small-polaron model with general open boundary conditions. The Lax pair and the boundary supermatrices for the model are obtained.
Xi-Wen Guan, Uwe Grimm, Rudolf A Romer
exaly   +2 more sources

A vector asymmetrical NNV equation: Soliton solutions, bilinear Bäcklund transformation and Lax pair

Journal of Mathematical Analysis and Applications, 2008
A vector asymmetrical Nizhnik–Novikov–Veselov (NNV) equation is proposed based on its bilinear form. Soliton solutions expressed by Pfaffians are obtained.
Guo-Fu Yu, Hon-Wah Tam
exaly   +2 more sources

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Lax pairs

Boletim da Sociedade Brasileira de Matemática, 1984
In the pioneering paper [Commun. Pure Appl. Math. 21, 467-490 (1968; Zbl 0162.411)], \textit{P. Lax} stated a condition under which certain one parameter families of operators \(\{\) L(t)\(\}\) are isospectral, i.e., all the L(t) have the same spectrum.
Neto, Hermano Frid, Thayer, F. Javier
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A note on the Lax pairs for Painlevéequations

Journal of Physics A: Mathematical and General, 1999
The Painlevé equations PI-PVI are six genuine nonlinear second-order differential equations such that the only movable singularities of their solutions are poles. By definition, movable singular are points which change when the initial conditions are changed.
Kapaev, A. A., Hubert, E.
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An explicit symmetry constraint for the Lax pairs and the adjoint Lax pairs of AKNS systems

Physics Letters A, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Wenxiu, Strampp, Walter
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On the Lax Pairs of the Symmetric Painlevé Equations

Studies in Applied Mathematics, 2006
The symmetric forms of the Painlevé equations are a sequence of nonlinear dynamical systems in N+ 1 variables that admit the action of an extended affine Weyl group of type , as shown by Noumi and Yamada. They are equivalent to the periodic dressing chains studied by Veselov and Shabat, and by Adler. In this paper, a direct derivation of the symmetries
Sen, A., Hone, A. N. W., Clarkson, P. A.
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A Lax pair for Kowalevski's top

Physica D: Nonlinear Phenomena, 1987
We show that on each level surface of the invariants, the equations of the Kowalevski top are equivalent to a Neumann system describing the motion of a mass point on the sphere \(S^ 2:| p| =1\) under the influence of a force -Qp. This allows us to write a global Lax pair for the Kowalevski system and to show that Kowalevski's original reduction of the ...
Haine, L., Horozov, E.
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THE LAX PAIR OF A GENERALIZED THIRRING MODEL

International Journal of Modern Physics A, 1999
The system of coupled nonlinear partial differential equations called the Massive Thirring Model is reviewed. In particular it is analyzed in the chiral fermion version, which is extended by introducing a local gauge symmetry in place of the usual global symmetry. This is done by minimally coupling the fermions with a SU L(2) ⊗ SU R(2) gauge potential.
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Lax Pairs for Four-Wave Interaction Systems

Journal of the Physical Society of Japan, 1996
Summary: The Lax formulation for four-wave interaction systems is proposed. Integrable four-wave interaction models are derived from a compatibility condition between two linear equations. As simple examples, new four-wave interaction equations are explicitly given.
Tsuchida, Takayuki, Wadati, Miki
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