Separation of variables in the nonlinear wave equation

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, , Citation R Z Zhdanov 1994 J. Phys. A: Math. Gen. 27 L291 DOI 10.1088/0305-4470/27/9/009

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1 Inst. of Math., Acad. of Sci., Kiev, Ukraine

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0305-4470/27/9/L291

Abstract

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.

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