On a construction of some classes of exact solutions for a modified Higgs model

Author
Yu. Yu. Berkela
Faculty of Mechanics and Mathematics, Ivan Franko Lviv National University
Abstract
Some modifications of nonlinear Higgs model are considered. The exact solutions are constructed in explicit form.
Keywords
modifications of nonlinear Higgs model, exact solutions, explicit form
DOI
doi:10.30970/ms.18.2.197-207
Reference
1. Prykarpatskyi A. K., Mykytyuk I. V. Algebraic aspects of integrability of nonlinear dynamic system on manifolds. – Kiev: Naukova dumka, 1991. – 288 p. (in Ukrainian)

2. Dickey L.A. Soliton equations and Hamiltonian systems // Advanced Series in Mathematical Physics. – 1991. – V. 12. – 310 p.

3. Sidorenko Yu.M. Method of integration of Lax equations with nonlocal reductions // Dopovidi NAN Ukrainy. – 1999. – № 8. – P. 19–23. (in Ukrainian)

4. Sidorenko Yu.M. Binary transformations and (2+1)–dimensional integrable systems // Ukr. math. journ. – 2002. – V.54, № 11. – P.1531–1550. (in Ukrainian)

Pages
197-207
Volume
18
Issue
2
Year
2002
Journal
Matematychni Studii
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