Results 41 to 50 of about 4,699 (155)
Lump Solutions of 2D Generalized Gardner Equation [PDF]
Nonlinear Science and Complexity, 2006 Results of numerical study of lump solutions (2D solitons)of a generalised 2D Gardner equation are presented. To construct such solutions, the Petviashvili is further developed for the evolution equations with the non-power linearity. Solution obtained for different relationships between quadratic and cubic nonlinearity as well as between small-and ...
Y. A. Stepanyants, I. K. Ten, H. Tomita
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Lump and rogue wave solutions to (1+1)-dimensional evolution equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we study lump solutions and rogue wave solutions for three (1+1)-dimensional nonlinear dynamic systems. By applying the Hirota direct method, lump and rogue wave solutions are presented with the aid of symbolic computations.
Yuan Zhou
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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 solution by choosing quadratic functions and exponential function.
Baoyong Guo, Huanhe Dong, Yong Fang
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Mixed lump–kink solutions to the KP equation
Computers & Mathematics with Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai-qiong Zhao, Wen-Xiu Ma
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Abundant Lump-Type Solutions and Interaction Solutions for a Nonlinear (3+1) Dimensional Model
Advances in Mathematical Physics, 2018 We explore dynamical features of lump solutions as diversion and propagation in the space. Through the Hirota bilinear method and the Cole-Hopf transformation, lump-type solutions and their interaction solutions with one- or two-stripe solutions have ...
R. Sadat, M. Kassem, Wen-Xiu Ma
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Alexandria Engineering JournalLearned from wrinkle wave motions, we concentrated on bifurcation phenomena in substrate-supported graphene sheets by obtaining the bifurcation solitons of thermophoretic motion equation.
Aly R. Seadawy +3 more
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Lump solutions of nonlinear (3 + 1)-dimensional for nonlinear partial differential equations
Partial Differential Equations in Applied Mathematics, 2020 Through the Hirota’s bilinear algorithm, we aim to generate the existence of diverse lump and interaction solutions for two nonlinear (3+1)-dimensional partial differential equations (NLPDEs).
Ahmad M. Alenezi
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Analytical tachyonic lump solutions in open superstring field theory [PDF]
Journal of High Energy Physics, 2006 We construct a classical solution in the GSO(-) sector in the framework of a Wess-Zumino-Witten-like open superstring field theory on a non-BPS D-brane. We use an su(2) supercurrent, which is obtained by compactifying a direction to a circle with the critical radius, in order to get analytical tachyonic lump solutions to the equation of motion.
Kishimoto, Isao, Takahashi, Tomohiko
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Elastic and nonelastic interactional solutions for the (2 + 1)-dimensional Ito equation
Arab Journal of Basic and Applied Sciences, 2019 In this paper, based on the bilinear form and two new test functions, for the (2 + 1)-dimensional Ito equation, we obtain non-elastic interactional solutions composed of three different types of waves including the solitary wave, the periodic wave and ...
Ai-Juan Zhou, Lan Lan
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Journal of Taibah University for Science, 2021 In this study, based on the Hirota bilinear form, the exact analytic solutions of the (3 + 1) dimensional Vakhnenko–Parkes equation with various physical properties were constructed with the help of the Maple package program and symbolic computation ...
Yeşim Sağlam Özkan +2 more
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