Abstract
The sine-Gordon equation is a very important partial differential equation not only in the modern theory of condensed matter physics but also in many other fields of sciences, such as chemical reaction kinetics and high energy physics. It models far more physical phenomena than the Korteweg-de Vries equation (KdV). It is known from Chapter 4 that an initial value problem (IVP) for the KdV may yield a soliton solution which can be found analytically using the inverse scattering method. The sine-Gordon equation also possesses soliton solutions and its IVP can also be solved by the inverse scattering method.
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© 1993 Springer Science+Business Media Dordrecht
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Shen, S.S. (1993). Sine-Gordon and Nonlinear Schrödinger. In: A Course on Nonlinear Waves. Nonlinear Topics in the Mathematical Sciences, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2102-6_7
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DOI: https://doi.org/10.1007/978-94-011-2102-6_7
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