Results 31 to 40 of about 7,978,167 (317)
Partial Differential Equations in Applied Mathematics, 2022 A generalized Bogoyavlensky–Konopelchenko equation is introduced by using p-generalized bilinear differential operators. The lump solutions, one-lump-one-kink and one-lump-two-kink solutions are derived with symbolic computations.
Si-Jia Chen, Xing Lü, Yu-Hang Yin
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Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation
Advances in Mathematical Physics, 2020 In this paper, we investigate multiple lump wave solutions of the new (4+1)-dimensional Fokas equation by adopting a symbolic computation method. We get its 1-lump solutions, 3-lump solutions, and 6-lump solutions by using its bilinear form.
Hongcai Ma, Yunxiang Bai, Aiping Deng
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Abundant lump-type solutions for the extended (3+1)-dimensional Jimbo–Miwa equation
Results in Physics, 2021 In this work, we research the mixed lump–kink solutions and their dynamic properties of the extended (3+1)-dimensional Jimbo–Miwa equation. Mixed lump–kink solutions are triggered by the interaction between lump soliton and exponential function, the ...
Mei Yang, M.S. Osman, Jian-Guo Liu
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Various exact wave solutions for KdV equation with time-variable coefficients
Journal of Ocean Engineering and Science, 2022 In this study, we investigate the (2 + 1)-dimensional Korteweg-De Vries (KdV) equation with the extension of time-dependent coefficients. A symbolic computational method, the simplified Hirota’s method, and a long-wave method are utilized to create ...
Hajar F. Ismael +2 more
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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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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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D-brane Solitons in Supersymmetric Sigma-Models [PDF]
, 2000 Massive D=4 N=2 supersymmetric sigma models typically admit domain wall (Q-kink) solutions and string (Q-lump) solutions, both preserving 1/2 supersymmetry. We exhibit a new static 1/4 supersymmetric `kink-lump' solution in which a string ends on a wall,
A. Achúcarro +31 more
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Results in Physics, 2022 In this paper, we investigate the (3+1)-dimensional Burger system which is employed in soliton theory and generated by considering the Hirota bilinear equation.
Yongyi Gu +5 more
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Complexity, 2019 In this paper, the bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)-dimensional Benjamin-Ono equation.
Zhonglong Zhao, Lingchao He, Yubin Gao
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Moduli Spaces of Lumps on Real Projective Space [PDF]
, 2015 Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions on real projective space are explicitly given by rational maps subject to a certain symmetry requirement.
Abera A. Muhamed +6 more
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