financially supported by the Basic and Applied Basic Research Foundation of Guangdong Province(Grant Nos.2023A1515010890 and 2022A1515240039);the National Natural Science Foundation of China(Grant No.52001071);the Special Fund Competition Allocation Project of Guangdong Science and Technology Innovation Strategy(Grant No.2023A01022);the Non-funded Science and Technology Research Program Project of Zhanjiang(Grant No.2021B01416);Student Innovation Team Project of Guangdong Ocean University(Grant No.CXTD2023012);the Doctor Initiate Projects of Guangdong Ocean University(Grant Nos.060302072103 and R20068);the Marine Youth Talent Innovation Project of Zhanjiang(Grant No.2021E05009).
The interaction between extreme waves and structures is a crucial study area in marine science,as it significantly influences safety and disaster prevention strategies for marine and coastal engineering.To investigate...
Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in ...
Travelling wave solutions have been played a vital role in demonstrating the wave character of nonlinear problems arising in the field of ocean engineering and sciences.To describe the propagation of the nonlinear wav...
supported by the Project of Scientific and Technological Innovation Base of Jiangxi Province,China (Grant No.20203CCD46008);the Key R&D Plan of Jiangxi Province,China (Grant No.20223BBH80006);the Natural Science Foundation of Jiangxi Province,China (Grant No.20212BAB211025);the Jiangxi Province Key Laboratory of Fusion and Information Control (Grant No.20171BCD40005)。
We investigate propagation of dust ion acoustic solitary wave(DIASW)in a multicomponent dusty plasma with adiabatic ions,superthermal electrons,and stationary dust.The reductive perturbation method is employed to deri...
The waveguide which is at the center of our concerns in this work is a strongly flattened waveguide, that is to say characterized by a strong dispersion and in addition is strongly nonlinear. As this type of waveguide...
In this paper, we consider the generalized Korteweg-de-Vries (KdV) equations which are remarkable models of the water waves mechanics, the shallow water waves, the quantum mechanics, the ion acoustic waves in plasma, ...
Project supported by the National Natural Science Foundation of China(Grant No.11574153);the Foundation of the Ministry of Industry and Information Technology of China(Grant No.TSXK2022D007)。
This study numerically investigates the nonlinear interaction of head-on solitary waves in a granular chain(a nonintegrable system)and compares the simulation results with the theoretical results in fluid(an integrabl...
Partial differential equations(PDEs)are important tools for scientific research and are widely used in various fields.However,it is usually very difficult to obtain accurate analytical solutions of PDEs,and numerical ...
In this paper, our objective is to explore novel solitary wave solutions of the Burgers-Fisher equation, which characterizes the interplay between diffusion and reaction phenomena. Understanding this equation is cruci...
The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear model equation for identifying various wave phenomena in ocean engineering and science. The new auxiliary equation (NAE) method has been a...