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-Satsuma-Ito equat...
e.g., multi-kink waves4, the elastic interaction solution between a line soliton and a periodic soliton5and inelastic interactions among the multi-front kink waves6). A new class of Hirota-Satsuma-Ito type equations involving general second-...
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 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...
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...
Generalized Hirota-Satsuma-Ito equationMultiple soliton solutionsThe multiple Exp-function method is employed for searching the multiple soliton solutions for the (2+1)-dimensional generalized Hirota-Satsuma-Ito (HSI) equation, which contain one-soliton, two-soliton, and triple-soliton kind solutions. ...
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 ...
By performing an appropriate limiting procedures on soliton solutions and then making further parameter constraints, general lump solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equation would be succinctly constructed. Furthermore, we provide the hybrid solutions which means different types of ...
This paper focuses on the exact soliton solutions of the (2+1)-dimensional generalized Hirota-Satsuma-Ito equations with time-dependent linear phase speed. Based on the Painleve integrability test of this equation, the condition of the integrability is determined. Then the general N-soliton ...
非线性波双线性方法本文基于Hirota双线性方法,研究了(2 + 1)维Hirota-Satsuma-Ito方程.在特定情况下,呼吸波可以转化为其他类型的非线性波,包括W型,M型,振荡W型,振荡M型和准周期型波,并分析了这些非线性波的动力学特性.基于特征线分析,得到了呼吸波与其他非线性波之间的转换条件.研究结果丰富了(2 + 1)维非...