Abstract
It is known that the sinh-Gordon equation (shGE),
has singular soliton solutions (see e. g. Pogrebkov and Polivanov, 1985).
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References
Beutler, R., 1993, Positon solutions of the sinh-Gordon equation, submitted for publication
Kovalev, A.S., Kulagin, N.E., 1987, Dynamics of dark solitons of nonzero vacuum in a one-component system, preprint of the Institut f. Low Temperature Physics & Engineering, UkrSSR Academy of Sciences, Kharkov, 1987
Matveev, V.B., 1992, Theory of positons I, submitted for publication Pogrebkov, A.K., Polivanov, M.K., 1985, The Liouville and sinh-Gordon equations, singular solutions, dynamics of singularities and inverse problem method, Sov. Sci. Rev., Sec. C-Math., Phys. Rev. 5:197
Salle, M.A., 1982, Darboux transformations for non-abelian and nonlocal equations of the Toda chain type, Sov. J. Theor. Mat. Phys. 53:227
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Beutler, R. (1994). Positon Solutions of the Sinh-Gordon Equation. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_41
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DOI: https://doi.org/10.1007/978-1-4899-1343-2_41
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