Search Results - Multiple exp-function algorithm

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

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

“… We determine novel exact solutions by utilizing the multiple exp-function algorithm and the modern group analysis method…”
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Solving the (3+1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm by Ma, Wen-Xiu, Zhu, Zuonong

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

“… Also, one-soliton, two-soliton and three-soliton type solutions are presented using multiple exp-function algorithm…”
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Soliton Solution of the Nonlinear Time Fractional Equations: Comprehensive Methods to Solve Physical Models by O’Regan, Donal, Aderyani, Safoura Rezaei, Saadati, Reza, Inc, Mustafa

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

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

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

“… We perform multiple exp-function method which is known as a generalization of Hirota’s perturbation scheme…”
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New multiple analytic solitonary solutions and simulation of (2+1)-dimensional generalized Benjamin-Bona-Mahony-Burgers model by Ankur, Jiwari, Ram

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

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

“… Multiple exp-function approach and bilinear form has been used to investigate the N-soliton and lump, lump…”
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Complexiton solutions and soliton solutions: (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation by Adem, Abdullahi Rashid, Yildirim, Yakup, Yaşar, Emrullah

“… of the multiple exp-function methodology which falls out as a result of generalisation of Hirota’s perturbation technique…”
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The generalized (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation: resonant multiple soliton, N-soliton, soliton molecules and the interaction solutions by Wang, Kang-Jia

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

“…-function method, the F-expansion method and the exp-function method…”
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Power constraint waveform design based on ADMM algorithm for MIMO radar transmit beampattern by Xu, Kaiyan, Gong, Pengcheng, Wu, Yuntao, Li, Jie, Deng, Xiong

“… Then, the log-sum-exp function and Taylor's formula are used to approximate the optimization problem to produce…”
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Symbol-Level Precoding Design for IRS-assisted MU-MISO Systems by Liu, Rang, Li, Hongyu, Li, Ming, Liu, Qian

“… To tackle the non-convex IRS design problem, we propose to use the log-sum-exp function to smooth…”
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The -expansion method for the nonlinear lattice equations by Ayhan, Burcu, Bekir, Ahmet

“… With the aid of symbolic computation, we choose nonlinear lattice equations to illustrate the validity and advantages of the algorithm…”
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An Algorithm for the Computation of Hermite–Padé Approximations to the Exponential Function: Divided Differences and Hermite–Padé Forms by Sablonnière, Paul

“…: 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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Three-jet production in diffractive deep inelastic scattering at HERA by 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.

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