Results 121 to 128 of about 2,203 (128)
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Nonlinear equations in soliton physics and operator ideals
, 1999An 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
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Classification of Integrable One‐Component Systems on Associative Algebras
, 2000This paper is devoted to the complete classification of integrable one‐component evolution equations whose field variable takes its values in an associative algebra. The proof that the list of non‐commutative integrable homogeneous evolution equations is
P. Olver, Jing Ping Wang
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Wavelet-Based Numerical Scheme Compared with VIM for Solving Kawahara Equation
Geometry Integrability and Quantization, 2019This paper aims to introduce a comparison of variation iteration method and wavelet basis method for the numerical solution of the Kawahara equation. Test problem is used to compare between the two methods.
Kamel Al-khaled
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Attractors for a Caginalp Phase-field Model with Singular Potential
Journal of Mathematical Study, 2018We consider a phase field model based on a generalization of the Maxwell Cattaneo heat conduction law, with a logarithmic nonlinearity, associated with Neumann boundary conditions.
Alain Miranville and Charbel Wehbe
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Legendre Pseudospectral Approximation of Boussinesq Systems and Applications to Wave Breaking
, 2016In this paper, we propose a spectral projection of a regularized Boussinesq system for wave propagation on the surface of a fluid. The spectral method is based on the use of Legendre polynomials, and is able to handle time-dependent Dirichlet boundary ...
Magnar Bjørkavûag +3 more
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Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures
Oberwolfach Reports, 2018Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda.
David Damanik +2 more
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Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations
, 2015In this paper, we will develop a fast iterative solver for the system of linear equations arising from the local discontinuous Galerkin (LDG) spatial discretization and additive Runge-Kutta (ARK) time marching method for the KdV type equations.
Ruihan Guo, Yan Xu
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A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow
, 2018A theoretical solution of the Riemann problem to the two-phase flow model in non-conservative form of Saurel and Abgrall is presented under the assumption that all the nonlinear waves are shocks.
Yueling Jia +3 more
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