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Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
Acta Mathematica Scientia, 2021Wenxiu Ma
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A binary Darboux transformation for multicomponent NLS equations and their reductions
Analysis and Mathematical Physics, 2021W. Ma, Sumayah Batwa
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2015
In this chapter we present a quick, informal derivation of the nonlinear Schrodinger equation (NLS) as the leading-order model for propagation of intense laser beams in an isotropic bulk medium. During the derivation, we introduce some terminology from linear and nonlinear optics, such as linear polarization, the paraxial approximation, and a Kerr ...
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In this chapter we present a quick, informal derivation of the nonlinear Schrodinger equation (NLS) as the leading-order model for propagation of intense laser beams in an isotropic bulk medium. During the derivation, we introduce some terminology from linear and nonlinear optics, such as linear polarization, the paraxial approximation, and a Kerr ...
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IEEE Winter Workshop on Nonlinear Digital Signal Processing, 2005
In this paper, we introduce a class of nonlinear digital filters, called d/spl alpha/-filters, that can be regarded as nonlinear functions of order statistics. This class includes: L-filtering, FIR filtering, LI-filtering and /spl gamma/-filtering. It is shown that the statistical performances of d/spl alpha/-filters are better than those of L-filters ...
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In this paper, we introduce a class of nonlinear digital filters, called d/spl alpha/-filters, that can be regarded as nonlinear functions of order statistics. This class includes: L-filtering, FIR filtering, LI-filtering and /spl gamma/-filtering. It is shown that the statistical performances of d/spl alpha/-filters are better than those of L-filters ...
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2015
In this chapter we provide a very brief introduction to finite-difference methods for the ...
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In this chapter we provide a very brief introduction to finite-difference methods for the ...
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Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation
Nonlinear dynamics, 2019Xue Guan +3 more
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Guardado Villegas, Blanca Alicia +11 more
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Guardado Villegas, Blanca Alicia +11 more
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2015
In this chapter we study the focusing NLS on a bounded domain \(\Omega \subset {\mathbb R}^d\)
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In this chapter we study the focusing NLS on a bounded domain \(\Omega \subset {\mathbb R}^d\)
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