Summary
Wave evolutions in a nonlinear equation with instability, dispersion, and dissipation are investigated both numerically and analytically. It is shown that equilibrium states or chaotic evolutions in the initial value problem can be described by interactions of localized soliton-like pulses arranged in a string. Nonlinear lattice equations governing the inter-pulse distances involve chaotic motions in accordance with the numerical results.
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© 1988 Springer-Verlag Berlin Heidelberg
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Kawahara, T., Toh, S., Takaoka, M. (1988). Pulse Interactions and Wave Evolutions in an Unstable Dissipative Dispersive System. In: Horikawa, K., Maruo, H. (eds) Nonlinear Water Waves. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83331-1_21
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DOI: https://doi.org/10.1007/978-3-642-83331-1_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83333-5
Online ISBN: 978-3-642-83331-1
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