JAEM 2021, Vol 11, No 1JAEM 2021, Vol 11, No 1 koleksiyonunu içerir.http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/30142026-04-14T21:33:30Z2026-04-14T21:33:30ZA split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamicsBayındır, CihanYurtbak, Hazalhttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/60442024-07-18T08:57:48Z2021-01-01T00:00:00ZA split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
Bayındır, Cihan; Yurtbak, Hazal
We investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the scheme using an analytical solution as a benchmark problem, we analyze the chaotic wave fields generated by the modulation instability within the frame of the dissipative Kundu-Eckhaus equation. We discuss the effects of various parameters on rogue wave formation probability and we also discuss the role of dissipation on occurrences of such waves.
2021-01-01T00:00:00ZConvolution of some slanted half-plane mappings with harmonic strip mappingsSharma, PoonamMishra, Omendrahttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/30742024-05-07T21:36:42Z2021-01-01T00:00:00ZConvolution of some slanted half-plane mappings with harmonic strip mappings
Sharma, Poonam; Mishra, Omendra
In this paper, we show that the convolution of generalized half-plane mapping and harmonic vertical strip mapping with dilatation e?? z? (n ? N, ? ? R) is convex in a particular direction and also solve the problem proposed by Z. Liu et al. [Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings, Filomat, 31 (2017), no. 7, 1843–1856].
2021-01-01T00:00:00ZHomomorphism in bipolar q—fuzzy soft ?—SemiringMassa’deh, MouradFallatah, AhlamAl-Refai, Oqlahhttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/30732024-05-07T21:36:42Z2021-01-01T00:00:00ZHomomorphism in bipolar q—fuzzy soft ?—Semiring
Massa’deh, Mourad; Fallatah, Ahlam; Al-Refai, Oqlah
In this paper, we discuss bipolar Q?fuzzy soft ??Semiring concept and bipolar Q?fuzzy soft ??Semiring homomorphism. Indeed, properties and theorems related to these notions are stated and proved.
2021-01-01T00:00:00ZPositive solutions for two-point conformable fractional differential equations by monotone iterative schemeToprakseven, Şuayiphttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/30722024-05-07T21:36:42Z2021-01-01T00:00:00ZPositive solutions for two-point conformable fractional differential equations by monotone iterative scheme
Toprakseven, Şuayip
In this paper, two successively iterative schemes have been provided to Show the existence of nontrivial solutions for nonlinear conformable fractional differential equation involving nonlocal boundary condition and a parameter. The iterative sequences begin with some constant. The fractional derivative in this study is based on the newly defined and so called ”conformable fractional derivative”. The corresponding Green’s function that is singular at zero has been derived. Because of this singularity, the fixed point theorem can not be applied directly, thus a sequence of operators that are completely continuous is constructed and uniform convergence of these operators to the underlying operator is shown. Then a fixed point result on the order interval is applied. Nontrivial solutions of the problem and the positive solutions of the problem that are the limit of the iterative sequences constructed has been demonstrated.
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