Abstract
Stable localized nonlinear coherent structures, i.e. solitons, play a key role in the stochastization of the processes occurring in active-dissipative media. In this study, three-dimensional multi-hump solitons are investigated for a model equation which qualitatively describes the wave processes in some physical systems. The existence of 3D multihump solitons is demonstrated numerically and the soliton behavior is studied. The results are generalized to describe multihump solitons in descending viscous-fluid layers [1]. An unusual physical phenomenon observed in experiments [1], namely, stable two-hump coherent structures on the surface of a downflowing viscous-fluid layer, is explained qualitatively.
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Original Russian Text © E.A. Demekhin, E.N. Kalaidin, S.M. Shapar, V.S. Shelistov, 2009, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2009, Vol. 44, No. 2, pp. 186–192.
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Demekhin, E.A., Kalaidin, E.N., Shapar, S.M. et al. On the theory of three-dimensional multihump solitons in active-dissipative media. Fluid Dyn 44, 328–332 (2009). https://doi.org/10.1134/S0015462809020173
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DOI: https://doi.org/10.1134/S0015462809020173