supported by the Project of the Fundamental Research Funds for the Central Universities of China(2022JBMC034);the National Natural Science Foundation of China under Grant No.12275017;Beijing Laboratory of National Economic Security Early-warning Engineering,Beijing Jiaotong University
In this paper,we propose a combined form of the bilinear Kadomtsev-Petviashvili equation and the bilinear extended(2+1)-dimensional shallow water wave equation,which is linked with a novel(2+1)-dimensional nonlinear m...
supported by the National Natural Science Foundation of China Nos.11775146 and 12105243;the Natural Science Foundation of Zhejiang Province of China Grant No.LQ22A050002。
A new(2+1)-dimensional higher-order extended asymmetric Nizhnik-Novikov-Veselov(eANNV)equation is proposed by introducing the additional bilinear terms to the usual ANNV equation.Based on the independent transformatio...
supported by the National Natural Science Foundation of China(Grant No.11371326 and Grant No.11975145)。
The nonlocal nonlinear Gerdjikov-Ivanov(GI)equation is one of the most important integrable equations,which can be reduced from the third generic deformation of the derivative nonlinear Schr?dinger equation.The Darbou...
In this article,three-dimensional mixed convection flow over an exponentially stretching sheet is investigated.Energy equation is modelled in the presence of viscous dissipation and variable thermal conductivity.Tempe...
supported by the National Natural Science Foundation of China(Nos.11775121 and 11435005);the Dean’s Research Fund 2017-18(FLASS/DRF/IRS-10)from the Education University of Hong Kong;the KC Wong Magna Fund at Ningbo University.
In this paper,we investigate some new interesting solution structures of the(2+1)-dimensional bidirectional Sawada–Kotera(bSK)equation.We obtain soliton molecules by introducing velocity resonance.On the basis of sol...
Supported by the National Natural Science Foundation of China under Grant Nos.1187224,11432009;the Australian Research Council through a Discovery Early Career Researcher Award DE150100169
The fully developed mixed convection hybrid nanofluid flow in a vertical microchannel is examined in detail.The simplified hybrid model that omits the nonlinear terms due to the interaction of different nanoparticle v...
Supported by the National Natural Science Foundation of China under Grant Nos.11505055,11822501,11774087;Natural Science Foundation of Hunan Province China under Grant No.2017JJ1021;Scientific Research Fund of Hunan Provincial Education Department under Grant No.18A007
We study the spectrum of single-photon emission and scattering in a mixed optomechanical model which consists of both linear and quadratic optomechanical interactions.The spectra are calculated based on the exact long...
Supported by the Natural Science Foundation of Liaoning Province of China under Grant No.201602678
To the best of our knowledge, all nonlinearities in the known nonlinear integrable systems are either local or nonlocal. A natural problem is whether there exist some nonlinear integrable systems with both local and n...
The current study focuses on the numerical investigation of the mixed convective peristaltic mechanism through a vertical tube for non-zero Reynolds and wave number. In the set of constitutional equations, energy equa...
Supported in part by the Natural Science Foundation of China under Grant Nos.10821504,11075194,11135003,11275246,and 11475238;by the National Basic Research Program of China(973 Program) under Grant No.2010CB833000(TL)
We propose the reference section method to obtain a geometric phase for the mixed states in nonunitary evolution. The reference connection on density operator space is defined. That the parallel transport method and r...