Integrability of the Perturbed KdV Equation for Convecting Fluids: Symmetry Analysis and Solutions
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Publication:4949293
DOI10.2991/JNMP.1996.3.1-2.1zbMath1044.35518OpenAlexW1702138679MaRDI QIDQ4949293
Publication date: 8 May 2000
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2991/jnmp.1996.3.1-2.1
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Explicit solutions, first integrals of ordinary differential equations (34A05) Free convection (76R10)
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Symmetry reductions for a dissipation-modified KdV equation ⋮ Exact solutions of the equation for surface waves in a convecting fluid ⋮ Interaction of lumps and dark solitons in the Mel'nikov equation
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