Results 31 to 40 of about 9,899 (289)
Multi-lump formations from lump chains and plane solitons in the KP1 equation
, 2023 We show that complex higher-order lump patterns can be constructed in two different ways within the Kadomtsev–Petviashvili equation which describes nonlinear wave processes in media with positive dispersion. In the first approach, we start with solutions
Yang, Xiangyu +4 more
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Rich analytical solutions of a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation
Results in Physics, 2021 In this paper, a new (3+1)-dimensional Boiti-Leon- Manna-Pempinelli equation is studied. The interaction solutions of lump and N-soliton (N=2,3,4) are investigated.
Na Yuan
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Propulsion and Power Research, 2021 The multiple-order line rogue wave solutions method is emp loyed for searching the multiple soliton solutions for the generalized (2 + 1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili (CHKP) equation, which contains first-order, second-order, and third-
Yufeng Qian +5 more
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Quantum lump dynamics on the two-sphere [PDF]
, 2013 It is well known that the low-energy classical dynamics of solitons of Bogomol'nyi type is well approximated by geodesic motion in M_n, the moduli space of static n-solitons.
Krusch, Steffen
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Results in Physics, 2023 In this paper, we research a (2+1)-dimensional variable-coefficient Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics. The lump, lump-soliton and lump-periodic solutions are derived based on the variable-coefficient polynomial function
Xue-Sha Wu, Hao-Miao Zhang, Jian-Guo Liu
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, 2023 In this paper, we get certain the lump-trigonometric solutions and rogue waves with predictability of a (2+1)-dimensional Konopelchenko-Dubrovsky equation in fluid dynamics with the assistance of Maple based on the Hirota bilinear form.
İLHAN, ONUR ALP +4 more
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A New Nonlinear Equation with Lump‐Soliton, Lump‐Periodic, and Lump‐Periodic‐Soliton Solutions
Complexity, 2019 An extended (2+1)‐dimensional Calogero‐Bogoyavlenskii‐Schiff‐like equation is proposed by using the generalized bilinear operators based on a prime number p = 3. By combining multiexponential functions with a quadratic function, the interaction between lumps and multikink soliton is generated.
Bo Ren 0004, Ji Lin 0003, Zhi-mei Lou
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Results in Physics, 2020 Based on symbolic computation and Hirota bilinear form, a class of lump solutions for the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili (gKP) equation is given. As a result, the lump solution shows a new perspective to knowledge them. Meanwhile,
Ping Cui
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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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Multiple lump solutions of the (2+1)-dimensional sawada-kotera-like equation
Frontiers in Physics, 2022 In this paper, 1-lump solution and 2-lump solution of a (2 + 1)-dimensional Sawada-Kotera-like equation are obtained by means of the Hirota’s bilinear method and long wave limit method.
Feng-Hua Qi +3 more
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