Darboux transformation and nonautonomous solitons for a generalized inhomogeneous Hirota equation
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DOI: 10.1007/s12648-016-0903-0
Abstract: In this paper, a generalized inhomogeneous Hirota equation with spatial inhomogeneity and nonlocal nonlinearity is investigated in detail. Firstly, the Darboux transformation is constructed based on corresponding nonisospectral linear eigenvalue problem. This transformation has an… read more here.
Keywords: generalized inhomogeneous; hirota equation; transformation; darboux transformation ... See more keywords
Multi-soliton propagation in generalized inhomogeneous NLS equation with symmetric potentials
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DOI: 10.1016/j.ijleo.2018.12.186
Abstract: Abstract We investigate the generalized inhomogeneous NLS equation with symmetric potentials. Corresponding Lax pair is constructed through AKNS procedure. Based on the obtained Lax pair, one and two soliton solutions are generated via Darboux transformation… read more here.
Keywords: generalized inhomogeneous; symmetric potentials; equation symmetric; inhomogeneous nls ... See more keywords
Dynamics of Rogue Waves for a Generalized Inhomogeneous Third-Order Nonlinear Schrödinger Equation From the Heisenberg Ferromagnetic System
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DOI: 10.1109/access.2019.2926541
Abstract: In this paper, dynamics of the higher-order rogue waves for a generalized inhomogeneous third-order nonlinear Schrödinger equation is investigated by using the generalized Darboux transformation. Based on the Lax pair, the first-order to the third-order… read more here.
Keywords: rogue waves; generalized inhomogeneous; order; waves generalized ... See more keywords
Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
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DOI: 10.1186/s13660-019-1973-2
Abstract: AbstractIn this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous radical quadratic functional equation of the form f(ax2+by2)=af(x)+bf(y)+D(x,y),$$f \bigl(\sqrt{ax^{2}+by^{2}} \bigr)=af(x)+bf(y) + D(x,y), $$… read more here.
Keywords: radical quadratic; solution generalized; generalized inhomogeneous; approximate solution ... See more keywords