Non‐Hamiltonian symmetries of a Boussinesq equation
نویسندگان
چکیده
منابع مشابه
Classical and Nonclassical Symmetries of a Generalized Boussinesq Equation
We apply the Lie-group formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized Boussinesq equation, which has the classical Boussinesq equation as an special case. We study the class of functions f(u) for which this equation admit either the classical or the nonclassical method. The reductions obtained are derived. Some new exact solutions can be der...
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The continuous spectrum and soliton solutions for the Boussinesq equation are investigated using the ∂̄-dressing method. Solitons demonstrate quite extraordinary behavior; they may decay or form a singularity in a finite time. Formation of singularity (collapse of solitons) for the Boussinesq equation was discovered several years ago. Systematic study of the solitonic sector is presented. © 2002...
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Similarity transforms of the Boussinesq equation in a semi-in®nite medium are available when the boundary conditions are a power of time. The Boussinesq equation is reduced from a partial dierential equation to a boundary-value problem. Chen et al. [Trans Porous Media 1995;18:15±36] use a hodograph method to derive an integral equation formulation of the new dierential equation which they sol...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1986
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.527036