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Exact solutions of Wu–Zhang equation via complete discrimination system for polynomial method

Modern Physics Letters A, 2023
In this paper, the complete discrimination system for the polynomial method is applied to solve the Wu–Zhang system, and all the possible exact solutions are obtained, these exact solutions can be applied to the exploration of nonlinear physical phenomena, the method in this paper is different from the existing literature studies on the Wu–Zhang ...
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Qualitative and quantitative analysis of nonlinear dynamics by the complete discrimination system for polynomial method

Chaos, Solitons & Fractals, 2020
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Yue Kai   +5 more
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Dynamical Discussion and Diverse Soliton Solutions via Complete Discrimination System Approach Along with Bifurcation Analysis for the Third Order NLSE

Malaysian Journal of Mathematical Sciences, 2023
The purpose of this study is to introduce the wave structures and dynamical features of the third-order nonlinear Schr\"{o}dinger equations (TONLSE). We take the original equation and, using the traveling wave transformation, convert it into the appropriate traveling wave system, from which we create a conserved quantity known as the Hamiltonian.
Rizvi, S. T. R.   +2 more
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Proving Program Termination by Discoverer and Complete Discrimination System

2012 Fourth International Symposium on Information Science and Engineering, 2012
Combined with the tools DISCOVERER and CDS, a method is presented to synthesize ranking functions of loop programs. It is shown that the problems of finding ranking functions can be converted to a simpler problem, which can be solved by the complete discrimination system of polynomials (CDS), when DISCOVERER generates only one condition.
Yi Li, Yong Feng
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A complete discrimination system for polynomials with complex coefficients and its automatic generation

Science in China Series E: Technological Sciences, 1999
Write the polynomial \(f(x)\) as \(f_1(x)+ if_2(x)\), where \(f_1\) and \(f_2\) have real coefficients. The authors give a method of determining the numbers of real zeros, pairs of complex conjugate zeros, and complex zeros with no conjugate (which can arise if \(f_2\) has some non-zero coefficients) of \(f\).
Liang, Songxin, Zhang, Jingzhong
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Finding multiple real roots by neural networks based on complete discrimination system of polynomial

2008 IEEE Conference on Cybernetics and Intelligent Systems, 2008
A new method of solving the multiple real roots of polynomial by neural networks is proposed in this paper. This method combines the symbolic method with the numerical method. Based on the complete discrimination system of polynomial, the number and multiplicities of the distinct real roots of polynomials can be explicit determined.
null Xinli Zhang   +2 more
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Plasmid-encoded Antirestriction Protein ArdA Can Discriminate between Type I Methyltransferase and Complete Restriction–Modification System

Journal of Molecular Biology, 2007
Many promiscuous plasmids encode the antirestriction proteins ArdA (alleviation of restriction of DNA) that specifically affect the restriction activity of heterooligomeric type I restriction-modification (R-M) systems in Escherichia coli cells. In addition, a lot of the putative ardA genes encoded by plasmids and bacterial chromosomes are found as a ...
Sergei V, Nekrasov   +4 more
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Bifurcation Analysis and Soliton Solutions to the Kuralay Equation Via Dynamic System Analysis Method and Complete Discrimination System Method

Qualitative Theory of Dynamical Systems
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Liu, Jing, Li, Zhao
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Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations

Computer Physics Communications, 2010
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Optical dromions for M-fractional Kuralay equation via complete discrimination system approach along with sensitivity analysis and quasi-periodic behavior

Modern Physics Letters B
This paper investigates new analytical wave solutions for the fractional Kuralay-IIB equations (FK-IIBE), including a new definition of the fractional derivative. This model works in disciplines such as ferromagnetic materials, optical fibers, wave mixing, and nonlinear optics.
Syed Oan Abbas   +3 more
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