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Complex extensions of a submanifold of solutions of the sine-gordon equation

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 846))

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References

  1. A. BARONE, F. ESPOSITO, C. J. MAGEE and A. C. SCOTT, Theory and applications of the sine-Gordon equation, Riv. Nuovo Cimento, 1, (1971), 227–267.

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  2. R. JACKIW, Quantum meaning of classical field theory, Rev. Mod. Phys., 49, (1977), 681–706.

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  3. A. OSBORNE and A. E. G. STUART, On the separability of the sine-Gordon equation and similar quasilinear partial differential equations, J. Math. Phys., 19, (1978), 1573–1579.

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  4. A. C. BRYAN, C. R. HAINES and A. E. G. STUART, A classification of the separable solutions of the two-dimensional sine-Gordon equation and of its Laplacian variant, (preprint).

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  5. A. C. BRYAN, C. R. HAINES and A. E. G. STUART, Complex solitons and poles of the sine-Gordon equation, Lett. Math. Phys. 2, (1978), 445–449.

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  6. G. BOWTELL and A. E. G. STUART, Interacting sine-Gordon solitons and classical particles: A dynamic equivalence, Phys. Rev. D, 15, (1977), 3580–3591.

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  7. A. C. BRYAN, C. R. HAINES and A. E. G. STUART, Solitons and separable elliptic solutions of the sine-Gordon equation, Lett. Math. Phys., 3, (1979), 265–269.

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Authors
  1. Alan C. Bryan
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  2. Christopher R. Haines
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  3. Allan E. G. Stuart
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W. N. Everitt B. D. Sleeman

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© 1981 Springer-Verlag

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Bryan, A.C., Haines, C.R., Stuart, A.E.G. (1981). Complex extensions of a submanifold of solutions of the sine-gordon equation. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089826

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  • DOI: https://doi.org/10.1007/BFb0089826

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10569-5

  • Online ISBN: 978-3-540-38538-7

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