Results 21 to 30 of about 8,015,190 (317)
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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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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Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
, 2021 The Painleve integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable ...
Bo Ren
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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 Solutions, Multi Lump Solutions and More Soliton Solutions of a Novel (2+1)-dimensional Nonlinear Evolution Equation [PDF]
, 2021 Abstract Exact solutions of a new (2+1)-dimensional nonlinear evolution equation are studied. Through the Hirota bilinear method, the test function method and the improved tanh-coth and tah-cot method, with the assisstance of symbolic operations, one can obtain the lump solutions, multi lump solutions and more soliton solutions.
Hongcai Ma +3 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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Rational Solutions and Their Interaction Solutions of the (3+1)-Dimensional Jimbo-Miwa Equation
Advances in Mathematical Physics, 2020 In this paper, we gave a form of rational solution and their interaction solution to a nonlinear evolution equation. The rational solution contained lump solution, general lump solution, high-order lump solution, lump-type solution, etc.
Xiaomin Wang, Sudao Bilige, Jing Pang
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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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