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USING THE BAYESIAN FRAMEWORK FOR INFERENCE IN FRACTIONAL ADVECTION-DIFFUSION TRANSPORT SYSTEM

, 2020
This work shows for the first time the viability of using the Bayesian paradigm for both estimation and hypothesis testing when applied to fractional differential equations.
E. Boone   +3 more
semanticscholar   +1 more source

Nonlinear equations in soliton physics and operator ideals

, 1999
An operator-theoretic method for the investigation of nonlinear equations in soliton physics is discussed comprehensively. Originating from pioneering work of Marchenko, our operator-method is based on new insights into the theory of traces and ...
B. Carl, C. Schiebold
semanticscholar   +2 more sources

Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms

, 2016
The generalized sub-ODE method, the rational (G′/G)-expansion method, the exp-function method and the sine-cosine method are applied for constructing many traveling wave solutions of nonlinear partial differential equations (PDEs).
E. Zayed, A. Al-Nowehy
semanticscholar   +1 more source

Solutions to a Vector Heisenberg Ferromagnet Equation Related to Symmetric Spaces

Geometry Integrability and Quantization, 2019
In this report we consider a vector generalization of Heisenberg ferromagnet equation. That completely integrable system is related to a spectral problem in pole gauge for the Lie algebra sl(n + 1,C).
T. Valchev, A. Yanovski
semanticscholar   +1 more source

Exact Solution of the Bogoyavlenskii Equation Using the Improved tanh-coth Method

, 2015
An improved tanh-coth method is used to obtain exact solutions of the Bogoyavlenskii equation. The obtained solutions are given in a more general form than those obtained in previous literature.
A. Gómez
semanticscholar   +1 more source

Traveling wave solutions of a generalized Burgers' equation

, 2017
In this paper we find a solution of the generalized Burgers’ equation of the form u(x, t) = U(μx−λt) this is, from the traveling wave form. To achieve this purpose a method based on the omega function is proposed.
G. H. Garzon, J. Hernandez
semanticscholar   +1 more source

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