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The generalized sine-Gordon equation and its 1-soliton solutions

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References

  1. Aminov, Yu. A., On immersions of the n-dimensional Lobachevski space into the (2n-1)-dimensional Euclidean space, Dokl. Ak. Nauk SSSR 236(3), 1977

  2. Aminov, Yu. A., Isometric immersions of regions of the n-dimensional Lobachevski space into the (2n-1)-dimensional Euclidean space, Mat. Sbornik, vol. 111(153) N° 3, 1980

  3. Aminov, Yu. A., A multidimensional analog of the sine- Gordon equation and the motion of a rigid body, Dokl. Ak. Nauk SSSR, 264(5), 1982

  4. Helgason, S., Differential geometry and symmetric spaces, Acad. Press New York and London, 1962

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  5. Moore, J. D., Isometric immersions of space forms into space forms, Pac. J. Math., 40 (1972)

  6. Postnikov, M. M., Lectures on geometry, Semester V, Moskva 1982 (in russian)

  7. Tenenblat, K. and Terng, Ch. L., Bäcklund's theorem for n-dimensional submanifolds of R2n−1, Ann. of Math. 111 (1980)

  8. Terng, Ch. L., A higher dimensional generalization of the “sine-Gordon” equation and its soliton theory. Ann. of Math. 111 (1980)

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Gollek, H. The generalized sine-Gordon equation and its 1-soliton solutions. Ann Glob Anal Geom 3, 233–264 (1985). https://doi.org/10.1007/BF01000342

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