Time-fractional Hirota–Satsuma–Ito equations? 2022 Elsevier B.V.In this paper, we concentrate on the Lie symmetries and conservation laws of the time-fractional (2+1)-dimensional Hirota–Satsuma–Ito equations which contain both the integer-order partial differential equations (PDEs) and the ...
This paper mainly discussed the (\(3+1\))-dimensional Hirota–Satsuma–Ito-like equation. We obtain the novel lump solution, breather solution and the interaction between the lump solution and solitons and periodic wave. Firstly, the N-soliton solution is obtained based on Bell polynomial and ...
In this work, numerous rogue wave solution strategy (MRWSS) agreeing to the Hirota bilinear hypothesis is utilized. The said strategy to build different soliton wave solutions for the generalized Hirota-Satsuma-Ito (GHSI) condition is considered. These numerous soliton wave solutions incorporate first...
We apply the Hirota direct method to construct lump and interaction solutions to the Hirota–Satsuma–Ito (HSI) equation. We establish a general theory for finding the lump-soliton to (2+1)-dimensional nonlinear PDEs. We generate the corresponding lump and lump-soliton solutions to the HSI equa...
In this research, we will introduce and study the localized interaction solutions and th eir dynamics of the extended Hirota–Satsuma–Ito equation (HSIe), which plays a key role in studying certain complex physical phenomena. By using the Hirota bilinear method, the lump-type solutions will be...
Abundant exact interaction solutions, including lump-soliton, lump-kink, and lump-periodic solutions, are computed for the Hirota-Satsuma-Ito equation in (2 + 1)-dimensions, through conducting symbolic computations with Maple. The basic starting point is a Hirota bilinear form of the Hirota-...
Shallow water wavesSymbolic computationX-type solitonsWater waves can be seen in the rivers, lakes, oceans, etc. A (2 + 1)-dimensional Hirota–Satsuma–Ito system, which arises in the shallow water waves, is investigated in this work. Based on the given N-soliton solutions, we develop ...
lump solutionshybrid solutionssymbolic computationWith the Hirota bilinear method and symbolic computation, explicit forms of N-soliton of the (2+1)-dimensional Hirota-Satsuma-Ito equation are derived. General high-order breather solutions are constructed through appropriate parameter restrictions. By ...
本文的主要目标是将Hirota双线性方法用于研究一个新的复广义Hirota-Satsuma耦合Kdv方程和一个(3+1)-维非线性演化方程.首先通过引入对数变换和有理变换,将复广义Hirota... 吴建平 - 郑州大学 被引量: 3发表: 2007年 Hirota方法在两个孤子方程中的应用 本文主要是运用Hirota双线性方法来研究带自相容源的(3+1)-...
Solitary Wave Solutions for the Coupled Ito System and a Generalized Hirota-Satsuma Coupled KdV System We make use of an extended tanh-function method and symbolic computation to construct four kinds of travelling solitary wave solutions for the coupled Ito ... YF Zhang - 《理论物理通讯(英文版)...