Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5792
Abstract: We consider the fully parity‐time (PT) symmetric nonlocal (2 + 1)‐dimensional nonlinear Schrödinger (NLS) equation with respect to x and y. By using Hirota's bilinear method, we derive the N‐soliton solutions of the nonlocal NLS… read more here.
Keywords: semi rational; rational solutions; nonlocal dimensional; nonlinear schr ... See more keywords
Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01814-5
Abstract: In this paper, we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded perforated 3D domain confined between two parallel plates, where the distance… read more here.
Keywords: law; nonlinear brinkman; lower dimensional; dimensional nonlinear ... See more keywords
Exponential Runge–Kutta Method for Two-Dimensional Nonlinear Fractional Complex Ginzburg–Landau Equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01240-x
Abstract: In this work, we study numerically two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equations. A centered finite difference method is exploited to discretize the spatial variables and leads to a system of the ordinary differential equation,… read more here.
Keywords: fractional complex; complex ginzburg; ginzburg landau; method ... See more keywords
Bäcklund transformation, multiple wave solutions and lump solutions to a (3 + 1)-dimensional nonlinear evolution equation
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DOI: 10.1007/s11071-017-3581-3
Abstract: In this paper, a $$(3+1)$$(3+1)-dimensional nonlinear evolution equation is cast into Hirota bilinear form with a dependent variable transformation. A bilinear Bäcklund transformation is then presented, which consists of six bilinear equations and involves nine… read more here.
Keywords: nonlinear evolution; wave solutions; transformation; dimensional nonlinear ... See more keywords
Dynamical Behavior of Singular Traveling Waves of ($$\hbox {n}+1$$n+1)-Dimensional Nonlinear Klein-Gordon Equation
Sign Up to like & getrecommendations! Published in 2019 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-018-0285-0
Abstract: This work researches the singular traveling wave system of the ($$\hbox {n}+1$$n+1)-dimensional nonlinear Klein-Gordon equation via the bifurcation theory of dynamical systems. The bifurcations and phase portraits of the traveling wave system are investigated and… read more here.
Keywords: singular traveling; hbox dimensional; klein gordon; dimensional nonlinear ... See more keywords
Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2021.104347
Abstract: Abstract The lump solutions have been shown to be one of the most effective solutions for nonlinear evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable (3+1)-dimensional nonlinear evolution equation in… read more here.
Keywords: dimensional nonlinear; evolution equation; nonlinear evolution; evolution ... See more keywords
Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2021.116295
Abstract: Abstract In this paper, a three-dimensional geometrically exact model is developed for cantilevers, for the first time, which allows for accurate analysis of oscillations of extremely large amplitude. The proposed exact model is on the… read more here.
Keywords: dimensional nonlinear; geometrically exact; exact model; model ... See more keywords
Periodic solution of the (2 + 1)-dimensional nonlinear electrical transmission line equation via variational method
Sign Up to like & getrecommendations! Published in 2021 at "Results in physics"
DOI: 10.1016/j.rinp.2020.103666
Abstract: Abstract The soliton solutions of the (2+1)-dimensional nonlinear electrical transmission line equation are discussed by Md. Abdul Kayum, et al.(Results in Physics, Volume18, 2020, 103269). In this paper, we obtain its periodic solution by the… read more here.
Keywords: line equation; periodic solution; transmission line; electrical transmission ... See more keywords
Potential landscape of high dimensional nonlinear stochastic dynamics with large noise
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DOI: 10.1038/s41598-017-15889-2
Abstract: Quantifying stochastic processes is essential to understand many natural phenomena, particularly in biology, including the cell-fate decision in developmental processes as well as the genesis and progression of cancers. While various attempts have been made… read more here.
Keywords: high dimensional; potential landscape; dimensional nonlinear; landscape high ... See more keywords
On the breathers and rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients
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DOI: 10.1080/17455030.2019.1646944
Abstract: In this paper, we construct new breather wave and rogue wave solutions for the (2+1)-dimensional nonlinear Schrodinger equation (NLS) with variable coefficients by using similarity transformations.... read more here.
Keywords: rogue waves; variable coefficients; waves dimensional; breathers rogue ... See more keywords
Three-dimensional nonlinear optical holograms
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DOI: 10.1103/physreva.102.063505
Abstract: The three-dimensional holography technique offers an efficient and convenient tool for storing depth information of the object and provides more realistic images compared to the two-dimensional case, which has been widely used in the fields… read more here.
Keywords: three dimensional; microscopy; optical holograms; dimensional nonlinear ... See more keywords