Nel corso del 1991 è stato effettuato un censimento delle tane di Tasso Meles melesin un’area molto antropizzata della Pianura Padana posta alla conflaenza del flume Lambro nel flumePo, estesa per 103 Km^2. Si s...Nel corso del 1991 è stato effettuato un censimento delle tane di Tasso Meles melesin un’area molto antropizzata della Pianura Padana posta alla conflaenza del flume Lambro nel flumePo, estesa per 103 Km^2. Si sono individuate 24 tane (0,2 Km^2). Density and distribution of Badger’s setts (Meles meles) in the Lower Lodigiano (NorthernItaly). A census of the Badger’s setts (Meles meles) was carried out in 1991 in a densely inhabited areaof the Po Plain, near the mouth of the river Lambro into the Po. In the study area (extended for103 Km^2) 24 setts have been found (0,2 Km^2).展开更多
In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann–Liouville derivative. This me...In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann–Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method. For illustrating the validity of this method,we apply this method to solve the space-time fractional Whitham–Broer–Kaup(WBK) equations and the nonlinear fractional Sharma–Tasso–Olever(STO) equation, and as a result, some new exact solutions for them are obtained.展开更多
In this letter,we prove that the STO equation is CTE solvable and obtain the exact solutions of solitons fission and fusion. We also provide the nonlocal symmetries of the STO equation related to CTE. The nonlocal sym...In this letter,we prove that the STO equation is CTE solvable and obtain the exact solutions of solitons fission and fusion. We also provide the nonlocal symmetries of the STO equation related to CTE. The nonlocal symmetries are localized by prolonging the related enlarged system.展开更多
We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach.The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem ...We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach.The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair.Subsequently,in the case that the Riemann-Hilbert problem is irregular,the N-soliton solutions of the equation can be deduced.In addition,the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.展开更多
When analysing the thermal conductivity of magnetic fluids, the traditional Sharma-Tasso-Olver (STO) equation is crucial. The Sharma-Tasso-Olive equation’s approximate solution is the primary goal of this work. The q...When analysing the thermal conductivity of magnetic fluids, the traditional Sharma-Tasso-Olver (STO) equation is crucial. The Sharma-Tasso-Olive equation’s approximate solution is the primary goal of this work. The quintic B-spline collocation method is used for solving such nonlinear partial differential equations. The developed plan uses the collocation approach and finite difference method to solve the problem under consideration. The given problem is discretized in both time and space directions. Forward difference formula is used for temporal discretization. Collocation method is used for spatial discretization. Additionally, by using Von Neumann stability analysis, it is demonstrated that the devised scheme is stable and convergent with regard to time. Examining two analytical approaches to show the effectiveness and performance of our approximate solution.展开更多
文摘Nel corso del 1991 è stato effettuato un censimento delle tane di Tasso Meles melesin un’area molto antropizzata della Pianura Padana posta alla conflaenza del flume Lambro nel flumePo, estesa per 103 Km^2. Si sono individuate 24 tane (0,2 Km^2). Density and distribution of Badger’s setts (Meles meles) in the Lower Lodigiano (NorthernItaly). A census of the Badger’s setts (Meles meles) was carried out in 1991 in a densely inhabited areaof the Po Plain, near the mouth of the river Lambro into the Po. In the study area (extended for103 Km^2) 24 setts have been found (0,2 Km^2).
基金Supported by Natural Science Foundation of Shandong Province of China under Grant No.ZR2013AQ009National Training Programs of Innovation and Entrepreneurship for Undergraduates under Grant No.201310433031Doctoral initializing Foundation of Shandong University of Technology of China under Grant No.4041-413030
文摘In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann–Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method. For illustrating the validity of this method,we apply this method to solve the space-time fractional Whitham–Broer–Kaup(WBK) equations and the nonlinear fractional Sharma–Tasso–Olever(STO) equation, and as a result, some new exact solutions for them are obtained.
基金Research supported by the National Natural Science Foundation of China(10671168)the Natural Science Foundation of Jiangsu Province(BK2006032)+1 种基金the Foundation of‘Liu Da Ren Cai’Plan(06-A-038)the Foundation of‘333 Gongcheng’of Jiangsu Province
基金Supported by National Natural Science Foundation of China under Grant Nos.1120509211175092 and 11435005+2 种基金Ningbo Natural Science Foundation under Grant Nos.2015A610159 and 2012A610178by the Opening Project of Zhejiang Provincial Top Key Discipline of Physics Sciences in Ningbo University under Grant No.xkzw11502the authors were sponsored by K.C.Wong Magna Fund in Ningbo University
文摘In this letter,we prove that the STO equation is CTE solvable and obtain the exact solutions of solitons fission and fusion. We also provide the nonlocal symmetries of the STO equation related to CTE. The nonlocal symmetries are localized by prolonging the related enlarged system.
基金Project supported by the National Natural Science Foundation of China(Grant No.11975145)the Program for Science&Technology Innovation Talents in Universities of Henan Province,China(Grant No.22HASTIT019)+2 种基金the Natural Science Foundation of Henan,China(Grant No.202300410524)the Science and Technique Project of Henan,China(Grant No.212102310397)the Academic Degrees&Graduate Education Reform Project of Henan Province,China(Grant No.2021SJGLX219Y)。
文摘We study the complex Sharma-Tasso-Olver equation using the Riemann-Hilbert approach.The associated Riemann-Hilbert problem for this integrable equation can be naturally constructed by considering the spectral problem of the Lax pair.Subsequently,in the case that the Riemann-Hilbert problem is irregular,the N-soliton solutions of the equation can be deduced.In addition,the three-dimensional graphic of the soliton solutions and wave propagation image are graphically depicted and further discussed.
文摘When analysing the thermal conductivity of magnetic fluids, the traditional Sharma-Tasso-Olver (STO) equation is crucial. The Sharma-Tasso-Olive equation’s approximate solution is the primary goal of this work. The quintic B-spline collocation method is used for solving such nonlinear partial differential equations. The developed plan uses the collocation approach and finite difference method to solve the problem under consideration. The given problem is discretized in both time and space directions. Forward difference formula is used for temporal discretization. Collocation method is used for spatial discretization. Additionally, by using Von Neumann stability analysis, it is demonstrated that the devised scheme is stable and convergent with regard to time. Examining two analytical approaches to show the effectiveness and performance of our approximate solution.
