An explicit solution formula for the sine-Gordon equation in terms of matrix triplets (A,B,C), where A is p-by-p, B is p-by-1, and C is 1-by-p, is generalized by removing the limitations on the matrix sizes. The matrix sine-Gordon equation it satisfies is identified.
Closed Form Solutions to the Matrix Sine-Gordon Equation
DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA
2012-01-01
Abstract
An explicit solution formula for the sine-Gordon equation in terms of matrix triplets (A,B,C), where A is p-by-p, B is p-by-1, and C is 1-by-p, is generalized by removing the limitations on the matrix sizes. The matrix sine-Gordon equation it satisfies is identified.
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