supported by the National Natural Science Foundation of China (Grant Nos.12275085 and 12235007);the Science and Technology Commission of Shanghai Municipality (Grant No.22DZ2229014)。
Considering the importance of higher-dimensional equations that are widely applied to real nonlinear problems,many(4+1)-dimensional integrable systems have been established by uplifting the dimensions of their corresp...
This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be o...
supported by the National Natural Science meters restrain as the relation:Foundation of China Grant No.11775146.
The D’Alembert solution of the wave motion equation is an important basic formula in linear partial differential theory.The study of the D’Alembert wave is worthy of deep consideration in nonlinear partial different...
supported by the National Natural Science Foundation of China under grant No.11775116;Jiangsu Qinglan highlevel talent Project。
Based on a special transformation that we introduce,the N-soliton solution of the(2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation is constructed.By applying the long wave limit and restricting certain conjuga...
In the present work, the new exact solutions of the Boiti-Leon-Pempinelli system have been found. The system has extensive physical background. The exact solutions of the Boiti-Leon-Pempinelli system are investigated ...
the financial support from NBHM, India in the form of major research project, BRNS, India in the form of Young Scientist Research Award
The multiple exp-function method is a new approach to obtain multiple wave solutions of nonlinear partial differential equations (NLPDEs). By this method one can obtain multi-soliton solutions of NLPDEs. In this paper...
Supported by the Natural Science Foundation of Shanghai under Grant No.09ZR1412800; the Innovation Program of Shanghai Municipal Education Commission under Grant No.10ZZ131
In this paper,multi-periodic (quasi-periodic) wave solutions are constructed for the Boiti-Leon-Manna-Pempinelli(BLMP) equation by using Hirota bilinear method and Riemann theta function.At the same time,weanalyze in ...
Supported by the Natural Science Foundation of Shanghai under Grant No.09ZR1410800;the Science Foundation of Key Laboratory of Mathematics Mechanization under Grant No.KLMM0806;the Shanghai Leading Academic Discipline Project under Grant No.J50101;Key Disciplines of Shanghai Municipality under Grant No.S30104
In this paper,we construct exact solutions for the (2+1)-dimensional Boiti-Leon-Pempinelle equation byusing the (G'/G)-expansion method,and with the help of Maple.As a result,non-travelling wave solutions with threear...
Supported by the National Natural Science Foundation of China under Grant No.60772023;the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.BUAA-SKLSDE-09KF-04;Beijing University of Aeronautics and Astronautics,by the National Basic Research Program of China (973 Program) under Grant No.2005CB321901;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20060006024 and 200800130006,Chinese Ministry of Education
With symbolic computation, the Hirota method and Riemann theta function are employed to directly construct the periodic wave solutions for the Hirota-Satsuma equation for shallow water waves and Boiti-Leon-Manna- Pemp...
The project supported by the Natural Science Foundation of Zhejiang Province under Grant No. Y604106 and the Natural Science Foundation of Zhejiang Lishui University under Grant No. FC06001
In this paper, we present an object reduction for nonlinear partial differential equations. As a concrete example of its applications in physical problems, this method is applied to the (2+1)-dimensional Boiti-Leon...