Optimal system, nonlinear self-adjointness and conservation laws for generalized shallow water wave equation
نویسندگان
چکیده
منابع مشابه
On Black-Scholes equation; method of Heir-equations, nonlinear self-adjointness and conservation laws
In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.
متن کاملon black-scholes equation; method of heir-equations, nonlinear self-adjointness and conservation laws
in this paper, heir-equations method is applied to investigate nonclassical symmetries and new solutions of the black-scholes equation. nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.
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Submitted: Nov 12, 2013; Accepted: Dec 18, 2013; Published: Dec 22, 2013 Abstract: In this article, we have employed an enhanced (G′/G)-expansion method to find the exact solutions first and then the solitary wave solutions of the nonlinear generalized shallow water wave equation. Here we have derived solitons, singular solitons and periodic wave solutions through the enhanced (G′/G)-expansion ...
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We have studied the self-adjointness of generalized MIC-Kepler Hamiltonian, obtained from the formally self-adjoint generalized MIC-Kepler Hamiltonian. We have shown that for l̃ = 0, the system admits an 1-parameter family of self-adjoint extension and for l̃ 6= 0 but l̃ < 1 2 , it has also an 1parameter family of self-adjoint extension.
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We consider a shallow water equation of Camassa-Holm type, containing nonlinear dispersive effects as well as fourth order dissipative effects. We prove that as the diffusion and dispersion parameters tend to zero, with a condition on the relative balance between these two parameters, smooth solutions of the shallow water equation converge to discontinuous solutions of a scalar conservation law...
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ژورنال
عنوان ژورنال: Open Physics
سال: 2018
ISSN: 2391-5471
DOI: 10.1515/phys-2018-0049