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Exact solutions to the angular Teukolsky equation with s≠0
《Communications in Theoretical Physics》2022年第11期1-15,共15页Chang-Yuan Chen Xiao-Hua Wang Yuan You Dong-Sheng Sun Fa-Lin Lu Shi-Hai Dong 
supported by the National Natural Science Foundation of China(Grant No.11975196);partially by 20220355-SIP,IPN。
We first convert the angular Teukolsky equation under the special condition ofτ≠0,s≠0,m=0 into a confluent Heun differential equation(CHDE)by taking different function transformation and variable substitution.And t...
关键词：angular Teukolsky equation linearly dependent Wronskian determinant 
Self-Consistent Sources Extensions of Modified Differential-Difference KP Equation
《Communications in Theoretical Physics》2018年第4期357-366,共10页Gegenhasi Ya-Qian Li Duo-Duo Zhang 
Supported by the National Natural Science Foundation of China under Grant Nos.11601247 and 11605096;the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant Nos.2016MS0115 and 2015MS0116;the Innovation Fund Programme of Inner Mongolia University No.201611155
In this paper, we investigate a modified differential-difference KP equation which is shown to have a continuum limit into the m KP equation. It is also shown that the solution of the modified differential-difference ...
关键词：modified differential-difference KP equation source generation procedure determinant solution Backlund transformation 
N-fold Darboux Transformation for Integrable Couplings of AKNS Equations被引量：1
《Communications in Theoretical Physics》2018年第4期367-374,共8页Jing Yu Shou-Ting Chen Jing-Wei Han Wen-Xiu Ma 
Supported by the National Natural Science Foundation of China under Grant Nos.61771174,11371326,11371361,11301454,and11271168;Natural Science Fund for Colleges and Universities of Jiangsu Province of China under Grant No.17KJB110020;General Research Project of Department of Education of Zhejiang Province(Y201636538)
For the integrable couplings of Ablowitz-Kaup-Newell-Segur(ICAKNS) equations, N-fold Darboux transformation(DT) TN, which is a 4 × 4 matrix, is constructed in this paper. Each element of this matrix is expressed by a...
关键词：Darboux transformation integrable couplings of the AKNS equations determinant representation 
Direct Proof of Determinant Representation for Scalar Products of the XXZ Gaudin Model with Generic Non-Diagonal Boundary Terms
《Communications in Theoretical Physics》2014年第7期33-40,共8页王煦 郝昆 杨文力 
Supported by the National Natural Science Foundation of China under Grant Nos.11075126,11031005,11375141;the State Education Ministry of China under Grant No.20116101110017 and SRF for ROCS
After constructing the Bethe state of the XXZ Gaudin model with generic non-diagonal boundary terms,we analyze the properties of this state and obtain the determinant representations of the scalar products for this XX...
关键词：Gaudin models open spin CHAINS SCALAR products PARTITION function 
Extended Determinant Solution of a (3 + 1)-Dimensional KP Equation
《Communications in Theoretical Physics》2014年第4期409-414,共6页朱国庆 王红艳 
Supported by the National Science Foundation of China under Grant Nos.11101426 and 11201027;the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20121101120043
In this paper, new extended Grammian determinant solutions to a （3 ＋ 1）-dimensional KP equation are presented by using Hirora＇s bilinear method, and a broad set of suftlcient conditions of systems of linear partia...
关键词：Grammian determinant （3 ＋ 1）-dimensional KP pfaffian technique 
Novel Wronskian Condition and New Exact Solutions to a (3+1)-Dimensional Generalized KP Equation被引量：1
《Communications in Theoretical Physics》2013年第11期556-560,共5页吴建平 耿献国 
Supported by the National Natural Science Foundation of China under Grant No.11171312
Utilizing the Wronskian technique, a combined Wronskian condition is established for a （3＋1）-dimensional generalized KP equation. The generating functions for matrix entries satisfy a linear system of new partial d...
关键词：（3＋1）-dimensional generalized KP equation Wronskian determinant solutions N-soliton solu-tions periodic solutions rational solutions 
Bcklund Transformation and Multisoliton Solutions in Terms of Wronskian Determinant for (2+1)-Dimensional Breaking Soliton Equations with Symbolic Computation被引量：1
《Communications in Theoretical Physics》2010年第12期1059-1066,共8页秦渤 田播 刘立才 孟祥花 刘文军 
Supported by the National Natural Science Foundation of China under Grant No.60772023; the Open Fund under Grant No.BUAASKLSDE-09KF-04l;Supported Project under Grant No.SKLSDE-2010ZX-07 of the State Key Laboratory of Software Development Environment,Beijing University of Aeronautics and Astronautics;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 No.200800130006,Chinese Ministry of Education
In this paper, two types of the （2＋1）-dimensional breaking soliton equations axe investigated, which describe the interactions of the Riemann waves with the long waves. With symbolic computation, the Hirota bilinea...
关键词：breaking soliton equations Hirota bilinear form B/icklund transformation Wronskian determinant symbolic computation 
Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation被引量：5
《Communications in Theoretical Physics》2009年第11期791-794,共4页WU Jian-Ping GENG Xian-Guo2 
Based on the Pfaffian derivative formulae,a Grammian determinant solution for a(3+1)-dimensionalsoliton equation is obtained.Moreover,the Pfaffianization procedure is applied for the equation to generate a newcoupled ...
关键词：（3＋1）-dimensional soliton equation Grammian determinant solution PFAFFIANIZATION Gram-type Pfaffian solution 
Painleve Analysis and Determinant Solutions of a (3+1)-Dimensional Variable-Coefficient Kadomtsev-Petviashvili Equation in Wronskian and Grammian Form被引量：2
《Communications in Theoretical Physics》2009年第6期1062-1068,共7页MENG Xiang-Hua TIAN Bo FENG Qian YAO Zhen-Zhi GAO Yi-Tian 
Supported by the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos. 20060006024 and 20080013006;Chinese Ministry of Education, by the National Natural Science Foundation of China under Grant No. 60772023;by the Open Fund of the State Key Laboratory of Software Development Environment under Grant No. SKLSDE-07-001;Beijing University of Aeronautics and Astronautics;by the National Basic Research Program of China (973 Program) under Grant No. 2005CB321901
In this paper, the investigation is focused on a （3＋1）-dimensional variable-coefficient Kadomtsev- Petviashvili （vcKP） equation, which can describe the realistic nonlinear phenomena in the fluid dynamics and plas...
关键词：（3＋1）-dimensional variable-coefficient Kadomtsev-Petviashvili equation Painlev@ analysis bilinear form Wronskian determinant Grammian determinant symbolic computation 
Wronskian and Grammian Determinant Solutions for a Variable-Coefficient Kadomtsev-Petviashvili Equation被引量：2
《Communications in Theoretical Physics》2008年第5期1125-1128,共4页YAO Zhen-Zhi ZHANG Chun-Yi ZHU Hong-Wu MENG Xiang-Hua LU Xing SHAN Wen-Rui TIAN Bo 
The project supported by the Key Project of the Ministry of Education under Grant No.106033;the Specialized Research Fund for the Doctoral Program of Higher Education under Grant No.20060006024;National Natural Science Foundation of China under Grant Nos.60372095 and 60772023;the Open Fund of the State Key Laboratory of Software Development Environment under Grant No.SKLSDE07-001;Beijing University of Aeronautics and Astronautics,and the National Basic Research Program of China(973 Program)under Grant No.2005CB321901
In this paper, we derive the bilinear form for a variable-coefficient Kadomtsev Petviashvili-typed equation. Based on the bilinear form, we obtain the Wronskian determinant solution, which is proved to be indeed an ex...
关键词：variable-coefficient Kadomtsev-Petviashvili equation Wronskian determinant Grammian deter-minant PFAFFIAN Jacobi identity 
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