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- W4313315082 abstract "Using the asymptotic perturbation method, a quite general new integrable system of equations in 2+1 dimensions can be derived from the dispersive long-wave equation. The interaction between the localized solutions is completely elastic because they pass through each other and preserve their shapes and velocities, the only change being a phase shift. Dromions are exponentially stable, localized solutions in two or more spatial dimensions. This chapter shows the existence of lower dimensional chaotic patterns such as chaotic–chaotic patterns, periodic–chaotic patterns, chaotic line soliton patterns, chaotic dromion patterns, fractal dromion patterns, and lump patterns as well as stochastic fractal solutions. It is well known that dromion solutions are not exclusive characteristics of equations integrable by the inverse scattering method. Fractal dromion patterns and stochastic fractal excitations also exist for appropriate choices of the initial conditions." @default.
- W4313315082 created "2023-01-06" @default.
- W4313315082 date "2022-12-30" @default.
- W4313315082 modified "2023-09-26" @default.
- W4313315082 title "The Asymptotic Perturbation Method for Fractal and Chaotic Solutions" @default.
- W4313315082 doi "https://doi.org/10.1002/9783527841745.ch10" @default.
- W4313315082 hasPublicationYear "2022" @default.
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