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Matrix-bipolar asymptotic modules for solving (2+1)-dimensional non-linear evolution equations with constraints

M Jaulent, M A Manna and L Martinez Alonso

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An infinite hierarchy of solvable systems of purely differential non-linear equations is introduced within the framework of asymptotic modules. Each system consists of (2+1)-dimensional evolution equations for at most four complex functions and of quite strong differential constraints. It may be interpreted formally as an integro-differential equation in (1+1) dimensions.


PACS

02.60.Nm Integral and integrodifferential equations

02.30.-f Function theory, analysis

MSC

45J05 Integro-ordinary differential equations (See also 34K05, 34K30, 47G20)

47J35 Nonlinear evolution equations (See also 34G20, 35K90, 35L90, 35Qxx, 35R20, 37Kxx, 37Lxx, 58D25)

Subjects

Mathematical physics

Computational physics

Dates

Issue 21 (7 November 1988)



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