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Soliton structures for the (3 + 1)-dimensional Painlevé integrable equation in fluid mediums. [PDF]
Sci RepLiu JG.
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Lump and lump-multi-kink solutions in the (3+1)-dimensions
Communications in Nonlinear Science and Numerical Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Si-Jia Chen, Xing Lü
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Lump solution and lump-type solution to a class of mathematical physics equation
Modern Physics Letters B, 2020Based on the Hirota bilinear form, lump-type and lump solutions to a class of mathematical physics equation are explored. Specific examples are discussed to show the richness of the considered partial differential equation. In addition, a few of the analyses and three-dimensional plots of some explicit solutions are made to show the dynamical features
Yanfang Sun, Jinting Ha, Huiqun Zhang
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Modern Physics Letters B, 2021
In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic ...
S. T. R. Rizvi +4 more
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In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic ...
S. T. R. Rizvi +4 more
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Rogue waves, classical lump solutions and generalized lump solutions for Sawada–Kotera-like equation
International Journal of Modern Physics B, 2022In this work, the [Formula: see text]-dimensional Sawada–Kotera-like (SK-like) equation is derived through the generalized bilinear equation from SK equation. By using “3-2” and “3-2-2” neural network models, three trial functions are constructed. Classic lump, generalized lump solutions and new rogue wave solutions are acquired by giving a number of ...
Run-Fa Zhang +4 more
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Waves in Random and Complex Media, 2019
Under investigation in this paper is a (3+1)-dimensional generalized Jimbo–Miwa equation(gJM), which describes many interesting three dimensional nonlinear waves in physics.
Xue-Wei Yan +3 more
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Under investigation in this paper is a (3+1)-dimensional generalized Jimbo–Miwa equation(gJM), which describes many interesting three dimensional nonlinear waves in physics.
Xue-Wei Yan +3 more
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Computers & Mathematics with Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Li, Temuer Chaolu, Yun-Hu Wang
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiang Li, Temuer Chaolu, Yun-Hu Wang
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Modern Physics Letters B, 2020
In this paper, the lump-type solutions, interaction solutions, and periodic lump solutions of the generalized ([Formula: see text])-dimensional Burgers equation were obtained by using the ansatz method. Based on a variable transformation, the generalized ([Formula: see text])-dimensional Burgers equation was transformed into a bilinear equation.
Chun-Na Gao, Yun-Hu Wang
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In this paper, the lump-type solutions, interaction solutions, and periodic lump solutions of the generalized ([Formula: see text])-dimensional Burgers equation were obtained by using the ansatz method. Based on a variable transformation, the generalized ([Formula: see text])-dimensional Burgers equation was transformed into a bilinear equation.
Chun-Na Gao, Yun-Hu Wang
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A Lump Solution and Its Energy
Progress of Theoretical Physics Supplement, 2011Summary: A concrete example of lump solution in bosonic open string field theory is presented and discussed. It is shown that the solution satisfies the equation of motion and is not a pure gauge. The expression of its energy is written down explicitly and analytically computed as far as it is possible.
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