sponsored by the National Natural Science Foundations of China under Grant Nos.12301315,12235007,11975131;the Zhejiang Provincial Natural Science Foundation of China under Grant No.LQ20A010009。
In the realm of nonlinear integrable systems,the presence of decompositions facilitates the establishment of linear superposition solutions and the derivation of novel coupled systems exhibiting nonlinear integrabilit...
supported by the National Natural Science Foundation of China(Nos.11925108 and 11731014)
The Hirota equation can be used to describe the wave propagation of an ultrashort optical field.In this paper,the multi-component Hirota(alias n-Hirota,i.e.n-component third-order nonlinear Schrodinger)equations with ...
Supported by the National Natural Science Foundation of China under Grant No.11261037;the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant No.2014MS0111;the Caoyuan Yingcai Program of Inner Mongolia Autonomous Region under Grant No.CYYC2011050;the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant No.NJYT14A04
We study the multi-peakon solutions for two new coupled Camassa–Holm equations, which include twocomponent and three-component Camassa–Holm equations. These multi-peakon solutions are shown in weak sense. In particu...
Supported by the National Natural Science Foundation of China under Grant Nos.11275072 and 11375090;Research Fund for the Doctoral Program of Higher Education of China under No.20120076110024;the Innovative Research Team Program of the National Natural Science Foundation of China under Grant No.61321064;Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No.ZF1213,Talent Fund;K.C.Wong Magna Fund in Ningbo University
In this paper, we derive the bi-Hamiltonian structure of a multi-component Camassa–Holm system, which associates with the multi-component AKNS hierarchy and multi-component KN hierarchy via the tri-Hamiltonian dualit...
Heavy-ion-acoustic(HIA) waves in an unmagnetized collisionless plasma system comprising superthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions have been investig...
Dust-ion acoustic waves are investigated in this model of plasma consisting of negatively charged dusts, cold ions and inertia less quantum effected electrons with the help of a typical energy integral. In this case, ...
Supported by the Science and Technology Foundation of State Key Laboratory for Shock Wave and Detonation Physics under Grant No.9140C670103120C6702;the Program for Excellent Talents of Sichuan Province of China under Grant No.2011JQ0053;University Electronic Science and Technology of China under Grant No.23601008
The equation of state(EOS) for hard-sphere fluid derived from compressibility routes of Percus-Yevick theory(PYC) is extended. The two parameters are determined by fitting well-known virial coefficients of pure fluid....
Supported by the National Natural Science Foundation of China under Grant No.60772023;by the Open Fund No.BUAA-SKLSDE-09KF-04;Supported Project No.SKLSDE-2010ZX-07 of the State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics;by the National Basic Research Program of China (973 Program) under Grant No.2005CB321901;by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.200800130006,Chinese Ministry of Education
For the propagation of the ultrashort pulses in an inhomogeneous multi-component nonlinear medium, a system of coupled equations is analytically studied in this paper. Painleve analysis shows that this system admits t...
Supported by National Natural Science Foundation of China under Grant Nos. 10671156 and 10671153
A new three-component Camassa-Holm equation is introduced. This system is endowed with a structuresimilar to the Camassa-Holm equation. It has peakon solitons and conserves H^1-norm conservation law.