Results 21 to 30 of about 66 (42)

Solution of a nonlinear partial differential equation with initial conditions

open access: yes, 1974
The exact solution 0 of a particular nonlinear partial differential equation is obtained in terms of solution u of a related linear partial differential equation.
J. L. Reid, W. M. Pritchard
semanticscholar   +1 more source

Two effective approaches for solving fractional generalized Hirota-Satsuma coupled KdV system arising in interaction of long waves

open access: yesJournal of Ocean Engineering and Science, 2019
In this article, two different methods, namely sub-equation method and residual power series method, have been used to obtain new exact and approximate solutions of the generalized Hirota-Satsuma system of equations, which is a coupled KdV model.
Ali Kurt   +6 more
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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

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