Výsledky vyhledávání - Multiple exp-function algorithm

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  1. 1

    The generalized (1+1)-dimensional and (2+1)-dimensional Ito equations: Multiple exp-function algorithm and multiple wave solutions Autor Adem, Abdullahi Rashid

    ISSN: 0898-1221, 1873-7668
    Vydáno: Elsevier Ltd 01.03.2016
    “…The multiple exp-function algorithm, as a generalization of Hirota’s perturbation scheme, is used to construct multiple wave solutions to the generalized (1+1)-dimensional and (2+1…”
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    Journal Article
  2. 2

    A generalized (1+2)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation: Multiple exp-function algorithm; conservation laws; similarity solutions Autor Moretlo, T.S., Adem, A.R., Muatjetjeja, B.

    ISSN: 1007-5704, 1878-7274
    Vydáno: Amsterdam Elsevier B.V 01.03.2022
    “… We determine novel exact solutions by utilizing the multiple exp-function algorithm and the modern group analysis method…”
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    Journal Article
  3. 3

    Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm Autor Ma, Wen-Xiu, Zhu, Zuonong

    ISSN: 0096-3003, 1873-5649
    Vydáno: Elsevier Inc 15.08.2012
    Vydáno v Applied mathematics and computation (15.08.2012)
    “…The multiple exp-function algorithm, as a generalization of Hirota’s perturbation scheme, is used to construct multiple wave solutions to the (3+1…”
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    Journal Article
  4. 4

    Soliton solutions to the non-local Boussinesq equation by multiple exp-function scheme and extended Kudryashov’s approach Autor Adem, Abdullahi Rashid, Yildirim, Yakup, Yaşar, Emrullah

    ISSN: 0304-4289, 0973-7111
    Vydáno: New Delhi Springer India 01.02.2019
    Vydáno v Pramāṇa (01.02.2019)
    “… Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm…”
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  5. 5

    Soliton Solution of the Nonlinear Time Fractional Equations: Comprehensive Methods to Solve Physical Models Autor O’Regan, Donal, Aderyani, Safoura Rezaei, Saadati, Reza, Inc, Mustafa

    ISSN: 2075-1680, 2075-1680
    Vydáno: Basel MDPI AG 01.01.2024
    Vydáno v Axioms (01.01.2024)
    “… The multi-exp-function method (MEFM) formulates a solution algorithm for calculating multiple wave solutions to NPDEs and at the end of paper, we apply the MEFM for calculating multiple wave solutions to the (2 + 1…”
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  6. 6

    A generalized (2+1)-dimensional generalized KdV equation with a plethora of analytical solutions and conservation laws Autor Sebogodi, M.C., Adem, A.R., Muatjetjeja, B.

    ISSN: 2666-8181, 2666-8181
    Vydáno: Elsevier B.V 01.09.2025
    “… Lastly, conservation laws and their significant implications will be illustrated. To produce solitonic solutions, the multiple exp-function algorithm, a generalization…”
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    Journal Article
  7. 7

    An Efficient LSEF‐Based Algorithm for Binary Phase‐Coded MIMO Radar Waveform Design Autor Cao, Jiahui, Sun, Jinping, Wang, Guohua, Zhang, Yuxi, Wang, Wenguang, Wang, Jun

    ISSN: 0013-5194, 1350-911X
    Vydáno: 01.01.2025
    Vydáno v Electronics letters (01.01.2025)
    “… The algorithm features a log‐sum‐exp function (LSEF)‐based fitness function and a vectorized recursive computation method, substantially reducing computational complexity compared to conventional approaches. A two…”
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    Journal Article
  8. 8

    A multiple exp-function method for the three model equations of shallow water waves Autor Yildirim, Yakup, Yasar, Emrullah, Adem, Abdullahi Rashid

    ISSN: 0924-090X, 1573-269X
    Vydáno: Dordrecht Springer Netherlands 01.08.2017
    Vydáno v Nonlinear dynamics (01.08.2017)
    “… We perform multiple exp-function method which is known as a generalization of Hirota’s perturbation scheme…”
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    Journal Article
  9. 9

    New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model Autor Ankur, Jiwari, Ram

    ISSN: 0924-090X, 1573-269X
    Vydáno: Dordrecht Springer Netherlands 01.07.2023
    Vydáno v Nonlinear dynamics (01.07.2023)
    “… First of all, tanh-coth and exp-function methods are employed to obtain the soliton analytic solutions of 1D and 2D GBBMB models and after that, the infinite domain interval is truncated…”
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    Journal Article
  10. 10

    Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method Autor Bekir, Ahmet, Aksoy, Esin

    ISSN: 0096-3003, 1873-5649
    Vydáno: Amsterdam Elsevier Inc 01.09.2010
    Vydáno v Applied mathematics and computation (01.09.2010)
    “…In this paper, we apply the exp-function method to construct generalized solitary and periodic solutions of nonlinear evolution equations with variable coefficients…”
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  11. 11

    An efficient analysis for N-soliton, Lump and lump–kink solutions of time-fractional (2+1)-Kadomtsev–Petviashvili equation Autor Hamid, Muhammad, Usman, Muhammad, Zubair, Tamour, Haq, Rizwan Ul, Shafee, Ahmad

    ISSN: 0378-4371, 1873-2119
    Vydáno: Elsevier B.V 15.08.2019
    Vydáno v Physica A (15.08.2019)
    “… Multiple exp-function approach and bilinear form has been used to investigate the N-soliton and lump, lump…”
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    Journal Article
  12. 12

    Complexiton solutions and soliton solutions: (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation Autor Adem, Abdullahi Rashid, Yildirim, Yakup, Yaşar, Emrullah

    ISSN: 0304-4289, 0973-7111
    Vydáno: New Delhi Springer India 01.03.2019
    Vydáno v Pramāṇa (01.03.2019)
    “… of the multiple exp-function methodology which falls out as a result of generalisation of Hirota’s perturbation technique…”
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    Journal Article
  13. 13

    The generalized (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: resonant multiple soliton, N-soliton, soliton molecules and the interaction solutions Autor Wang, Kang-Jia

    ISSN: 0924-090X, 1573-269X
    Vydáno: Dordrecht Springer Netherlands 01.05.2024
    Vydáno v Nonlinear dynamics (01.05.2024)
    “… First, the weight algorithm (WA) together with the linear superposition principle(LSP) is carried out to look for the resonant multiple soliton solutions…”
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    Journal Article
  14. 14

    Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation Autor Kaplan, Melike, Ozer, Mehmet Naci

    ISSN: 0306-8919, 1572-817X
    Vydáno: New York Springer US 01.01.2018
    Vydáno v Optical and quantum electronics (01.01.2018)
    “…-function method, the F-expansion method and the exp-function method…”
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    Journal Article
  15. 15

    Power constraint waveform design based on ADMM algorithm for MIMO radar transmit beampattern Autor Xu, Kaiyan, Gong, Pengcheng, Wu, Yuntao, Li, Jie, Deng, Xiong

    ISSN: 1051-2004, 1095-4333
    Vydáno: Elsevier Inc 01.10.2022
    Vydáno v Digital signal processing (01.10.2022)
    “… Then, the log-sum-exp function and Taylor's formula are used to approximate the optimization problem to produce…”
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  16. 16

    Symbol-Level Precoding Design for IRS-assisted MU-MISO Systems Autor Liu, Rang, Li, Hongyu, Li, Ming, Liu, Qian

    ISSN: 1558-2612
    Vydáno: IEEE 01.05.2020
    “… To tackle the non-convex IRS design problem, we propose to use the log-sum-exp function to smooth…”
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    Konferenční příspěvek
  17. 17

    The -expansion method for the nonlinear lattice equations Autor Ayhan, Burcu, Bekir, Ahmet

    ISSN: 1007-5704
    Vydáno: 01.09.2012
    “… With the aid of symbolic computation, we choose nonlinear lattice equations to illustrate the validity and advantages of the algorithm…”
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  18. 18

    An Algorithm for the Computation of Hermite–Padé Approximations to the Exponential Function: Divided Differences and Hermite–Padé Forms Autor Sablonnière, Paul

    ISSN: 1017-1398, 1572-9265
    Vydáno: New York Springer Nature B.V 01.08.2003
    Vydáno v Numerical algorithms (01.08.2003)
    “…: they are called Hermite–Padé approximants (HPA) to this function. Our algorithm is recursive and based upon the expression of HPF as divided differences of the function t→exp (xt…”
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  19. 19

    Three-jet production in diffractive deep inelastic scattering at HERA Autor Kotanski, A., Bauerdick, L. A. T., Drews, G., Fox-Murphy, A., Goebel, F., Hartner, G. F., Hillert, S., Bellagamba, L., Koch, W., Kotz, U., Kowalski, H., Moritz, M., Notz, D., Polini, A., Selonke, F., Wollmer, U., Bruni, A., Coldewey, C., Lopez-Duran-Viani, Amaya, Barbagli, G., Gallo, E., Bamberger, A., Coppola, N., Wolfle, S., Bell, M., Cara Romeo, G., Gendner, N., Holm, U., Wick, K., Carli, T., Metlica, F., Kuze, M., Barakbaev, A. N., Contin, A., Park, S. K., Krakauer, D., Vazquez Acosta, Monica Luisa, De Pasquale, S., Padhi, S., Stairs, D. G., Antonov, A., Bashkirov, V., Danilov, P., Giusti, P., Katkov, I. I., Kuzmin, V. A., Vlasov, N. N., Maddox, E., Levi, G., Wiggers, L., de Wolf, E., Gilmore, J., Ling, T. Y., Rigby, M., Sutton, M. R., Limentani, S., Stanco, L., Saull, P. R. B., Iga, Y., D'Agostini, G., Marini, G., Epperson, D., Seiden, A., Dagan, S., Fusayasu, T., Yamashita, T., Nishimura, T., Arneodo, M., Costa, M., Ferrero, M. I., Maselli, S., Monaco, V., Ruspa, M., Mirea, A., Gwenlan, C., West, B. J., Goers, S., Tymieniecka, T., Plucinski, P., Sztuk, J., Kcira, D., Lammers, S., Straub, P. B., Kind, O., Robins, S., Jeoung, H. Y., Yoshida, R., Mellado, B., Sampson, S., Schmidke, W. B., Sciulli, F., Chwastowski, J., Eskreys, A., Stopa, P., Kowal, A. M., Kowalski, T., Mindur, B., Przybycien, M., Suszycki, L., Szuba, D.

    ISSN: 0370-2693
    Vydáno: Elsevier BV 01.09.2001
    Vydáno v Physics Letters B (01.09.2001)
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    Journal Article