Abstract
The Darboux matrix method is used to study intrinsic generalized wave equation and intrinsic generalized sine-Gordon equation which have been studied by Beals and Tenenblat. Explicit formulas for exact solutions are obtained.
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References
Beals, R. and Tenenblat, K., An intrinsic generalization for the wave and sine-Gordon equation,Differential Geometry, Pitman Monograph 52, Longman, Harlow, 1991, pp. 25–46.
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This work is supported by Chinese National basic research project ‘Nonlinear Science’ and the Tianyuan Fund for Mathematics.
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Gu, C., Hu, H. Explicit solutions to the intrinsic generalization for the wave and sine-Gordon equations. Lett Math Phys 29, 1–11 (1993). https://doi.org/10.1007/BF00760853
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DOI: https://doi.org/10.1007/BF00760853