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Quasi-periodic solution of the Boomeron equation
Nonlinear
science
abstracts
411
MANIFOLD OF THE PARAMETERS OF THE 3-INSTANTON SOLUTION, V. Korepin, Leningrad Branch of Steklov Mathematical Instituv, USSR. F (x) = -F (x) for the Yang Mills The anti-self duality equation e quaternion approach of fields is considered in the case of SU (2) alGbra. T#" solution given by Atiyah is used to describe the manifold M of N-instanton It is shown that instanton parameters. M
=
Here ML7 is a seventeen dimensional
R18 $ R; - Ml7 manifold.
LATTICE VERSIONS OF QUANTUM FIELD THEORY MODELS IN TWO DIMENSIONS, V. E. Branch of Steklov Mathematical Leningrad Korepin, A. G. Izergin, Institute, USSR. The inverse scattering method allows to put exactly solvable models on a lattice in a way which preserves the Hamiltonian structure. Nuclear Physics B 205 (FSS) 1982, 401-413 JOURNAL: PROLONGATION METHODS APPLIED TO NONLINEAR EVOLUTION EQUATIONS, Tian Chou, and University of Science Department of Mathematics, Li Yi-Shen, Technology of China. This paper consists of three parts: 1) Give an immediate and simple description for the EW methods to look for the Lax pair of Nonlinear Evolution 2) For a Equations, and we will see, using this methods, it is more convenient. particular nonlinear evolution equations system, we have found their Lax pair, and using the Lax pair, we have found their infinite number of conservation laws We have found several different Lax pairs of the and a BZcklund transformation. equations, and we have discovered that it is convenient to choice an appropriate 3) From the view of the prolongation, we have a Lax pair for different problems. method to look for the conservation laws of the Nonlinear Evolution Equations. Even though this method is not perfect, it can find some conservation laws that Perhaps it is meaningful to discuss this method. we haven't known. QUASI-PERIODIC SOLUTION OF THE BOOMERON EQUATION, W. Wesselius, Technical Universitu of Enschede, THE NETHERLANDS. quasi-periodic solutions for the The Boomeron equation are determined by means of function theoretical methods related to Riemann surfaces and C-functions. NONLINEAR EVOLUTION EQUATIONS ASSOCIATED WITH THE CHIRAL FIELD SPECTRAL PROBLEM, Mario Bruschi, Dipartimento di Fisica, Universita di Roma "La Sapienza", Roma, ITALY, INFN, Sezione de Roma. The class of nonlinear evolution equations associated with the linear problem $, = AAJ, is derived and investigated. It turns out that many physically interesting equations pertain to this class: for instance the chiral equation, the nonlinear Klein-Gordon the field equation, Heisenberg and Papanicolau spin chain models, the modified Boussinesq equation, the WadatiKonno-Ichikawa eqs, etc. The Bdcklund transformations for such class are also exhibited and exploited to derive the one soliton solution in a special case.
science
abstracts
411
MANIFOLD OF THE PARAMETERS OF THE 3-INSTANTON SOLUTION, V. Korepin, Leningrad Branch of Steklov Mathematical Instituv, USSR. F (x) = -F (x) for the Yang Mills The anti-self duality equation e quaternion approach of fields is considered in the case of SU (2) alGbra. T#" solution given by Atiyah is used to describe the manifold M of N-instanton It is shown that instanton parameters. M
=
Here ML7 is a seventeen dimensional
R18 $ R; - Ml7 manifold.
LATTICE VERSIONS OF QUANTUM FIELD THEORY MODELS IN TWO DIMENSIONS, V. E. Branch of Steklov Mathematical Leningrad Korepin, A. G. Izergin, Institute, USSR. The inverse scattering method allows to put exactly solvable models on a lattice in a way which preserves the Hamiltonian structure. Nuclear Physics B 205 (FSS) 1982, 401-413 JOURNAL: PROLONGATION METHODS APPLIED TO NONLINEAR EVOLUTION EQUATIONS, Tian Chou, and University of Science Department of Mathematics, Li Yi-Shen, Technology of China. This paper consists of three parts: 1) Give an immediate and simple description for the EW methods to look for the Lax pair of Nonlinear Evolution 2) For a Equations, and we will see, using this methods, it is more convenient. particular nonlinear evolution equations system, we have found their Lax pair, and using the Lax pair, we have found their infinite number of conservation laws We have found several different Lax pairs of the and a BZcklund transformation. equations, and we have discovered that it is convenient to choice an appropriate 3) From the view of the prolongation, we have a Lax pair for different problems. method to look for the conservation laws of the Nonlinear Evolution Equations. Even though this method is not perfect, it can find some conservation laws that Perhaps it is meaningful to discuss this method. we haven't known. QUASI-PERIODIC SOLUTION OF THE BOOMERON EQUATION, W. Wesselius, Technical Universitu of Enschede, THE NETHERLANDS. quasi-periodic solutions for the The Boomeron equation are determined by means of function theoretical methods related to Riemann surfaces and C-functions. NONLINEAR EVOLUTION EQUATIONS ASSOCIATED WITH THE CHIRAL FIELD SPECTRAL PROBLEM, Mario Bruschi, Dipartimento di Fisica, Universita di Roma "La Sapienza", Roma, ITALY, INFN, Sezione de Roma. The class of nonlinear evolution equations associated with the linear problem $, = AAJ, is derived and investigated. It turns out that many physically interesting equations pertain to this class: for instance the chiral equation, the nonlinear Klein-Gordon the field equation, Heisenberg and Papanicolau spin chain models, the modified Boussinesq equation, the WadatiKonno-Ichikawa eqs, etc. The Bdcklund transformations for such class are also exhibited and exploited to derive the one soliton solution in a special case.