A5041365388- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Advanced Mathematical Physics Problems
- Algebraic structures and combinatorial models
- Hydrological Forecasting Using AI
- Probability and Risk Models
- Insurance and Financial Risk Management
- Advanced Mathematical Theories and Applications
- Statistical Mechanics and Entropy
Henan Polytechnic University
2024-2025
Guangdong Polytechnic Normal University
2024
In this work, a new fractal pseudo-parabolic equation is derived by means of He’s derivative. The semi-inverse method (SIM) employed to develop the generalized variational principle (GFVP), which can reveal energy conservation law in space and provide some insights on study method.
The central purpose of this paper is to explore the nonlinear dynamics (2+1)-dimensional Kadomtsev–Petviashvili equation (KPE). multiple soliton solutions (MSSs) are constructed via applying Hirota method. Then molecules on ([Formula: see text]-, text]- and text]-planes extracted imposing velocity resonance conditions MSSs. Eventually, two effective techniques, sub-equation approach (SEA) variational (VA), employed probe some other diverse wave solutions, which bright wave, dark singular...
ABSTRACT This paper aims to explore some different localized wave solutions the (3 + 1)‐dimensional Kudryashov–Sinelshchikov equation (KSe) for liquid with gas bubbles. First, traveling transformation is employed reduce dimension of KSe. Then Hirota bilinear method adopted develop rogue via introducing polynomial functions. By optimizing parameters, bright and dark waves first‐order second‐order are extracted. In addition, three‐wave seek generalized breathers wave, W ‐shape (double well or...
By means of He’s fractal derivative, a new (2 + 1)-dimensional Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation is extracted in this paper. The semi-inverse method employed to establish the generalized variational principle. principle can show conservation laws through energy form space. Moreover, some semi-domain solutions are also explored by applying approach and one-step namely Wang’s direct mapping method-II. dynamics on Cantor set unveiled graphically. findings study expected provide...
Under the present study, we focus on developing some exact solutions of (3 + 1)-dimensional generalized Kudryashov-Sinelshchikov equation (KSE) for liquid with gas bubbles. First, resonant soliton molecules different planes are extracted via imposing velocity resonance condition N-soliton that constructed Hirota bilinear method. Besides, asymmetric solitons also derived by choosing appropriate parameters. In end, diverse kinds travelling wave including bright wave, dark singular and periodic...