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Periodic Semifolded Solitary Waves for (2+1)-Dimensional Variable Coefficient Broer-Kaup System

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Communications in Theoretical Physics 2008年第6期49卷 1383-1388页

作者： huang wen-hua College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Mathematics and Mechanics Shanghai University Shanghai 200072 China

Applying the extended mapping method via Riccati equation, many exact variable separation solutions for the （2＆1 ）-dimensional variable coefficient Broer-Kaup equation are obtained. Introducing multiple valued function and Jacobi elliptic function in the seed solution, special types of periodic semifolded solitary waves are derived. In the long wave limit these periodic semifolded solitary wave excitations may degenerate into single semifolded localized soliton structures. The interactions of the periodic semifolded solitary waves and their degenerated single semifolded soliton structures are investigated graphically and found to be completely elastic.

关键词： variable coefficient Broer-Kaup system extended mapping method semifolded solitary wave

Periodic Folded Wave Patterns for(2+1)-Dimensional Higher-Order Broer-Kaup Equation

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Communications in Theoretical Physics 2008年第10期50卷 827-831页

作者： huang wen-hua College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Mathematics and Mechanics Shanghai University Shanghai 200072 China

A general solution including three arbitrary functions is obtained for the (2+1)-dimensional higher-orderBroer-Kaup equation by means of WTC truncation *** proper multiple valued functions and Jacobielliptic functions in the seed solution,special types of periodic folded waves are *** long wave limit theseperiodic folded wave patterns may degenerate into single localized folded solitary wave *** interactions ofthe periodic folded waves and their degenerated single folded solitary waves are investigated graphically and are foundto be completely elastic.

关键词： higher-order Broer Kaup equation WTC truncation method periodic folded wave

Multisoliton Solutions of the (2+1)-Dimensional KdV Equation

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Communications in Theoretical Physics 2001年第11期36卷 523-524页

作者： ZHANG Jie-Fang huang wen-hua Institute of Nonlinear Physics Zhejiang Normal UniversityJinhua 321004China Institute of Nonlinear PhysicsZhejiang Normal UniversityJinhua 321004China Department of Physics Jiangxi Yichun CollegeYichun 336000China

Using the extension homogeneous balance method,we have obtained some new special types of soliton solutions of the (2+1)-dimensional KdV *** from the homogeneous balance method,one can obtain a nonlinear transformation to simple (2+1)-dimensional KdV equation into a linear partial differential equation and two bilinear partial differential ***,one can obtain only a kind of soliton-like *** this letter,we find further some special types of the multisoliton solutions from the linear and bilinear partial differential equations.

关键词： multisoliton,(2+1)-dimensions,KdV equation

Doubly Periodic Propagating Wave for (2+1)-Dimensional Breaking Soliton Equation

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Communications in Theoretical Physics 2008年第2期49卷 268-274页

作者： huang wen-hua LIU Yu-Lu ZHANG Jie-Fang College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321000 China

Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the （2＋1）-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.

关键词： breaking soliton equation variable separation method Jabobi elliptic function periodic wave

Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation

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Communications in Theoretical Physics 2002年第5期38卷 517-522页

作者： ZHANG Jie-Fang huang wen-hua ZHENG Chun-Long Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Jiangxi Yichun University Yichun 336000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Zhejiang Lishui Normal College Lishui 323000 China

The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks.

关键词： variable separation approach, coherent structures, new (2+1)-dimensional soliton equation

Doubly Periodic Propagating Wave Patterns of （2＋1）-Dimensional Maccari System

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Communications in Theoretical Physics 2007年第3期47卷 397-402页

作者： huang wen-hua LIU Yu-Lu MA Zheng-Yi College of Science Zhejiang Huzhou University Huzhou 313000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China College of Science Zhejiang Lishui University Lishui 323000 China

Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the （2＋ 1）-dimensional Maccari system. By introducing Jacobi elliptic functions dn and nd in the seed solution, two types of doubly periodic propagating wave patterns are derived. We invest/gate the wave patterns evolution along with the modulus k increasing, many important and interesting properties are revealed.

关键词： Maccari system variable separation method Jacobi elliptic function periodic wave

A New Class of Periodic Solutions to （2＋1）-Dimensional KdV Equations

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Communications in Theoretical Physics 2005年第3X期44卷 401-406页

作者： huang wen-hua LIU Yu-Lu ZHANG Jie-Fang LAI Xian-Jing Department of Physics College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

We investigate a new class of periodic solutions to (2+1)-dimensional KdV equations, by both the linear superposition approach and the mapping deformation method. These new periodic solutions are suitable combinations of the periodic solutions to the (2+1)-dimensional KdV equations obtained by means of the Jacobian elliptic function method, but they possess different periods and velocities.

关键词： (2+1)-dimensional KdV equation linear superposition periodic solution

THE EXTENDED JACOBIAN ELLIPTIC FUNCTION EXPANSION METHOD AND ITS APPLICATIONS IN WEAKLY NONLINEAR WAVE EQUATIONS

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Journal of Hydrodynamics 2006年第3期18卷 352-361页

作者： huang wen-hua LIU Yu-lu LU Zhi-ming PAN Bo-ying LIU Mao-sheng Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Department of Physics College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China PAN Bo-ying Basic Department YiChun Vocational Technical College Yichun 336000 China

The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many types of doubly periodic traveling wave solutions are obtained. Under limiting conditions these solutions are reduced into solitary wave solutions.

关键词： Jacobian elliptic function expansion method,the coupled ZK equation the coupled KP equation

ROLE OF SERUM HAPTOGLOBIN IN POSTBURN B-LYMPHOCYTE DYSFUNCTION

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中华创伤杂志 1996年第2期 79-81页

作者： WANG Feng jun, huang wen hua, LI Ao Burn Research Institute, Southwestern Hospital, The Third Military Medical University, Chongqing, 630038

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