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Lump solution and lump-type solution to a class of water wave equation
Results in Physics, 2023 In the field of nonlinear sciences, the theory of solitons has long been regarded as one of the most significant and effective areas of research. In this research field, there are many efficient techniques for solving partial differential equations.
S. Liu, Z. Yang, A. Althobaiti, Y. Wang
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Advances in Difference Equations, 2021 The Hirota bilinear method is employed for searching the localized waves, lump–solitons, and solutions between lumps and rogue waves for the fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko (CBS-BK) equation.
Jalil Manafian +3 more
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Nonlinear Engineering, 2023 In this article, the equation showing the cold bosonic atoms in a zig-zag optical lattice model for some breathers, M-shaped solution and lump soliton solution, homoclinic breather pulses, breather lump pulses, periodic-cross kink wave, kink cross ...
Rizvi Syed T. R. +2 more
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Partial Differential Equations in Applied Mathematics, 2022 In this script, we consider the modified Oskolkov equation in incompressible viscoelastic Kelvin–Voigt fluid and fluid dynamics. A dominant direct algebraic method namely modified simple equation method (MSE) uses to retrieve various dynamical structural
M.M. Roshid +3 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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Mixed Rational Lump-Solitary Wave Solutions to an Extended (2+1)-Dimensional KdV Equation
Advances in Mathematical Physics, 2021 Based on the bilinear method, rational lump and mixed lump-solitary wave solutions to an extended (2+1)-dimensional KdV equation are constructed through the different assumptions of the auxiliary function in the trilinear form.
Zhigang Yao, Huayong Xie, Hui Jie
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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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