Abstract
The ϕ4breather solves an important special case of the Klein-Gordon equation
Klein-Gordon equations arise in a great diversity of physical applications including: uniaxial ferroelectrics, excitations in polyacetylene and other polymers, mobile domain walls, the Ginzburg-Landau theory of phase transitions, nonlinear optics (Lamb, 1971), and elementary particle physics. Campbell, Schonfeld, and Wingate (1983) and Korpel and Bannerjee (1984) are reviews.
“Linear theory is generally the most useful guide, but there are important nonlinear phenomena that will be overlooked if one insists on always starting from a linear problem.”
— S. A. Maslowe, Annual Reviews of Fluid Mech., 18, 429 (1986)
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© 1998 Springer Science+Business Media Dordrecht
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Boyd, J.P. (1998). The ϕ4 Breather. In: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Mathematics and Its Applications, vol 442. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5825-5_12
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DOI: https://doi.org/10.1007/978-1-4615-5825-5_12
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