Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2011-02-23
J. Nonlinear Math. Phys. 18, Suppl. 1, (2011), 51-60
Nonlinear Sciences
Exactly Solvable and Integrable Systems
11 pages (v2: A typo corrected in the authors' names)
Scientific paper
10.1142/S1402925111001271
The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551). Identification of the classical Lie symmetries provides a set of reductions that give rise to different nontrivial spectral problems in 1+1 dimensions. The form in which the spectral parameter of the 1+1 Lax pair is introduced is carefully described.
Estevez Pilar Garcia
Gandarias Maria Luz
Lucas Javier de
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