Results 21 to 30 of about 9,899 (289)
Rational Solutions and Lump Solutions of the Potential YTSF Equation
Zeitschrift für Naturforschung A, 2017 By using of the bilinear form, rational solutions and lump solutions of the potential Yu–Toda–Sasa–Fukuyama (YTSF) equation are derived. Dynamics of the fundamental lump solution, n 1-order lump solutions, and N-lump solutions are ...
Ai-Hua Chen, Hong-Qian Sun
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Advances in Mathematical Physics, 2021 It is well known that the celebrated Kadomtsev-Petviashvili (KP) equation has many important applications. The aim of this article is to use fractional KP equation to not only simulate shallow ocean waves but also construct novel spatial structures ...
Bo Xu, Yufeng Zhang, Sheng Zhang
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Lump Solutions and Interaction Solutions for the Dimensionally Reduced Nonlinear Evolution Equation [PDF]
Complexity, 2019 In this paper, by means of the Hirota bilinear method, a dimensionally reduced nonlinear evolution equation is investigated. Through its bilinear form, lump solutions are obtained. We construct interaction solutions between lump solutions and one soliton
Yong Fang, Baoyong Guo, Huanhe Dong
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Fractal and FractionalA nonlinear (3+1)-dimensional nonlinear Geng equation that can be utilized to explain the dynamics of shallow-water waves in fluids is given special attention.
Sarfaraz Ahmed +4 more
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Results in Physics, 2021 In this paper, we study some exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles. Based on a given transformation and the bilinear form, together with symbolic computations, we obtain the ...
Ya-Ru Guo, Ai-Hua Chen
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Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation
Advances in Mathematical Physics, 2023 In this paper, the localized properties of lump and interaction solutions to a new extended Jimbo-Miwa (EJM) equation are studied. Based on the Hirota bilinear method and the test function method, the exact solutions of the EJM equation are discussed ...
Yinghui He
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Experimental studies to determine the initial filtration gradient in clays [PDF]
E3S Web of Conferences, 2023 As is known, bеntonitе clay with a high plasticity numbеr of montmorillonitе composition (Logosnoyе dеposit) is charactеrizеd in its natural occurrеncе by a filtration coеfficiеnt valuе of no highеr than 0.001...0.001 m/day. Whеn such lump clay is placеd
Arifjanov Aybеk +3 more
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Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
Results in Physics, 2020 This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic ...
S.T.R. Rizvi +5 more
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Advances in Mathematical Physics, 2022 In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions.
Rihan Hai, Hasi Gegen
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Partial Differential Equations in Applied Mathematics, 2022 A generalized (2+1)-dimensional BKP equation with more second order nonlinear terms is studied. The different types of lump–kink solutions and lump–soliton solutions are constructed by using a combination of Hirota’s bilinear method and Maple symbolic ...
Qiao Huang, Yehui Huang, Liqin Zhang
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