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Discrete sine-Gordon equations

S.J. OrfanidisDepartment of Electrical Engineering, Rutgers University, Piscataway, New Jersey 08854
1978en
ABI

Abstract

Various discretizations of the sine-Gordon equation are studied. Hirota's discretization scheme is extended and two alternative discretization schemes are constructed. The associated soliton solutions, B\"acklund transformations, conservation laws, and the inverse scattering equations are obtained.

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