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Nonlinear (2+1)-dimensional systems solvable through asymptotic modules

1989; Elsevier BV; Volume: 135; Issue: 8-9 Linguagem: Inglês

10.1016/0375-9601(89)90044-3

1873-2429

M. Jaulent, M. A. Manna, Luis Martı́nez Alonso,

Advanced Fiber Laser Technologies

Abstract Some nonlinear differential systems in (2+1) dimensions are characterized by means of asymptotic modules involving two poles and a ring of linear differential operators with scalar coefficients.Rational and soliton-like are exhibited. If these coefficients are rational functions, the formalism leads to nonlinear evolution equations with constraints.