Elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media
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DOI: 10.1007/s11082-020-02637-6
Abstract: The optical solitary waves explain non-dispersive and non-diffractive spatiotemporal localized waves envelopes promulgating in the media of optical Kerr. These propagations are generally described by the nonlinear Schro dinger equation. The modified extended mapping technique… read more here.
Keywords: solitary waves; function solutions; wave; elliptic function ... See more keywords
Elliptic function soliton solutions of the higher-order nonlinear dispersive Kundu–Eckhaus dynamical equation with applications and stability
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DOI: 10.1007/s12648-019-01629-x
Abstract: In this paper, we employ the four mathematical methods, namely improved simple equation method (SEM), modified extended SEM, generalized exp $$(-\Phi (\xi ))$$ ( - Φ ( ξ ) ) -expansion technique and modified extended… read more here.
Keywords: kundu eckhaus; soliton; elliptic function; function ... See more keywords
Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
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DOI: 10.1016/j.rinp.2018.08.001
Abstract: Abstract In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic waves,… read more here.
Keywords: function solutions; physics; elliptic function; bullough mikhailov ... See more keywords
New periodic solutions for Ginzburg-Landau in three different derivatives via extended Jacobian elliptic function method
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DOI: 10.1016/j.rinp.2021.104152
Abstract: Abstract Here, we analyze the new optical solitons of the Ginsburg–Landau fractional complex of non-linearity (CGLE) laws in Kerr, which demonstrate various phenomena in physics such as non-linear waves, the transformation of the secondary phase,… read more here.
Keywords: new periodic; physics; jacobian elliptic; periodic solutions ... See more keywords
Explicit Solution to an Integral Equation with Elliptic Function in the Kernel
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DOI: 10.1134/s1995080219120096
Abstract: It is found the spectrum of a singular integral operator on the compound contour with elliptic function in the kernel. Explicit solution of the corresponding singular integral equation is constructed by applying its reduction to… read more here.
Keywords: explicit solution; elliptic function; integral equation; function kernel ... See more keywords
Solitary wave and elliptic function solutions of sinh-Gordon equation and its applications
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DOI: 10.1142/s0217984919504360
Abstract: The sinh-Gordon model is an important model in special nonlinear partial differential equations (PDEs) which is arising in solid-state physics, mathematical physics, fluid dynamics, fluid flow, dif... read more here.
Keywords: function solutions; wave elliptic; solitary wave; physics ... See more keywords