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Separation of variables in the nonlinear wave equation

R Z Zhdanov

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We develop a technique making it possible to handle the problem of separation of variables in nonlinear differential equations. Using it we obtain a number of new two-dimensional nonlinear wave equations admitting separation of variables and construct their exact solutions.


PACS

02.30.Hq Ordinary differential equations

02.30.Jr Partial differential equations

02.60.Lj Ordinary and partial differential equations; boundary value problems

MSC

34A34 Nonlinear equations and systems, general

Subjects

Mathematical physics

Computational physics

Dates

Issue 9 (7 May 1994)



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