Nonpropagating solitary waves in \((2+1)\)-dimensional generalized dispersive long wave systems

DOI10.1007/s10773-006-9068-5zbMath1111.35308OpenAlexW2070109487MaRDI QIDQ2506107

Fengde Zong, Chao-Qing Dai, Jie-Fang Zhang

Publication date: 28 September 2006

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-006-9068-5

zbMATH Keywords

dromionlumpfoldonnonpropagating solitons

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)

Related Items (4)

Combined wave solutions of the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov system ⋮ New exact solutions of the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ Exotic localized structures based on a variable separation solution of the \((2+1)\)-dimensional higher-order Broer-Kaup system ⋮ The novel solitary wave structures and interactions in the \((2+1)\)-dimensional Kortweg-de Vries system

Cites Work

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• Group theoretical analysis of dispersive long wave equations in two space dimensions
• Theory of non-propagating surface-wave solitons
• Parametrically excited solitary waves
• An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations
• Similarity solutions of dispersive long‐wave equations in two space dimensions
• Factorization of the 'classical Boussinesq' system
• Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces

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