Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach
TLDR
In this paper, the authors applied the improved tan (ξ )/ 2-expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equa- tions andexactparticularsolutions have been found.Abstract:
In this paper, we applied the improved tan (�(ξ )/ 2)-expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equa- tionsandexactparticularsolutionshavebeenfound.Theexactparticularsolutionscontaining four types hyperbolic function solution, trigonometric function solution, exponential solu- tion and rational solution. We obtained the further solutions comparing with other methods as sine-cosine function method (Qawasmeh in J Math Comput Sci 3:1475-1480, 2013). Recently this method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that this method, with the help of symbolic com- putation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.read more
Citations
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The sine-Gordon expansion method to look for the traveling wave solutions of the Tzitzéica type equations in nonlinear optics
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TL;DR: In this article, the improved tan Φ ( ξ ) / 2 -expansion method is proposed to seek more general exact solutions of the Kundu-Eckhaus equation.
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TL;DR: In this article, the improved tan(ϕ(ξ)/2)-expansion method (ITEM) is further extended into Gerdjikov-Ivanov (GI) model and the exact traveling wave solutions including solitons, kink, periodic and rational solutions have been found.
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Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics
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Characteristics of the solitary waves and rogue waves with interaction phenomena in a (2 + 1)-dimensional Breaking Soliton equation
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References
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Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation
Marwan Alquran,Kamel Al-Khaled +1 more
TL;DR: In this article, an analytical solution to a physical model called (2 + 1)-dimensional Zoomeron equation was obtained using direct methods such as the extended tanh, the exponential function and the sech p − tanh p function methods.
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Routine HIV screening in Portugal: clinical impact and cost-effectiveness
Yazdan Yazdanpanah,Julian Perelman,Madeline A. DiLorenzo,Joana Alves,Henrique Barros,Céu Mateus,João Pereira,Kamal Mansinho,Marion Robine,Ji-Eun Park,Eric L. Ross,Elena Losina,Rochelle P. Walensky,Farzad Noubary,Farzad Noubary,Kenneth A. Freedberg,A. David Paltiel +16 more
TL;DR: One-time HIV screening in the Portuguese national population will increase survival and is cost-effective by international standards, and more frequent screening in higher-risk regions and subpopulations is also justified.
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Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
TL;DR: In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov-Kuznetsov equation using the Riccati equation.
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