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Search Results: 1 - 10 of 34488 matches for " Lixin Zhou "
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Solitons, Peakons, and Periodic Cuspons of a Generalized Degasperis-Procesi Equation
Jiangbo Zhou,Lixin Tian
Mathematical Problems in Engineering , 2009, DOI: 10.1155/2009/249361
Abstract: We employ the bifurcation theory of planar dynamical systems to investigate the exact travelling wave solutions of a generalized Degasperis-Procesi equation ?
Periodic and Solitary Wave Solutions to the Fornberg-Whitham Equation
Jiangbo Zhou,Lixin Tian
Mathematical Problems in Engineering , 2009, DOI: 10.1155/2009/507815
Abstract: New travelling wave solutions to the Fornberg-Whitham equation ?
Periodic and Solitary-Wave Solutions for a Variant of the Equation
Jiangbo Zhou,Lixin Tian
International Journal of Differential Equations , 2011, DOI: 10.1155/2011/582512
Abstract: We employ the bifurcation method of planar dynamical systems and qualitative theory of polynomial differential systems to derive new bounded traveling-wave solutions for a variant of the (3,2) equation. For the focusing branch, we obtain hump-shaped and valley-shaped solitary-wave solutions and some periodic solutions. For the defocusing branch, the nonexistence of solitary traveling wave solutions is shown. Meanwhile, some periodic solutions are also obtained. The results presented in this paper supplement the previous results.
Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
Jiangbo Zhou,Lixin Tian
Physics , 2009, DOI: 10.1016/j.nonrwa.2008.11.014
Abstract: In this paper, we employ the bifurcation method of dynamical systems to investigate the exact travelling wave solutions for the Fornberg-Whitham equation. The implicit expression for solitons is given. The explicit expressions for peakons and periodic cusp wave solutions are also obtained. Further, we show that the limits of soliton solutions and periodic cusp wave solutions are peakons.
Soliton solution of the osmosis K(2, 2) equation
Jiangbo Zhou,Lixin Tian
Physics , 2009, DOI: 10.1016/j.physleta.2008.08.053
Abstract: In this Letter, by using the bifurcation method of dynamical systems, we obtain the analytic expressions of soliton solution of the osmosis K(2, 2) equation.
A type of bounded traveling wave solutions for the Fornberg-Whitham equation
Jiangbo Zhou,Lixin Tian
Physics , 2009,
Abstract: In this paper, by using bifurcation method, we successfully find the Fornberg-Whitham equation has a type of traveling wave solutions called kink-like wave solutions and antikinklike wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained. For some concrete data, the graphs of the implicit functions are displayed, and the numerical simulation is made. The results show that our theoretical analysis agrees with the numerical simulation.
Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation
Jiangbo Zhou,Lixin Tian
Physics , 2009, DOI: 10.1016/j.physleta.2008.02.032
Abstract: In this paper, we study an initial boundary value problem for a generalized Camassa-Holm equation. We establish local well-posedness of this closed-loop system by using Kato theorem for abstract quasilinear evolution equation of hyperbolic type. Then, by using multiplier technique, we obtain a conservation law which enable us to present a blow-up result.
Soliton and Periodic Wave Solutions to the Osmosis Equation
Jiangbo Zhou,Lixin Tian,Xinghua Fan
Mathematical Problems in Engineering , 2009, DOI: 10.1155/2009/509390
Abstract: Two types of traveling wave solutions to the osmosis K(2, 2) equation
Role of locust Locusta migratoria manilensis claws and pads in attaching to substrates
LiXin Wang,Qiang Zhou,ShuYan Xu
Chinese Science Bulletin , 2011, DOI: 10.1007/s11434-010-4162-8
Abstract: The present study attempts to investigate the role of rigid claws and smooth adhesive pads in the locust Locusta migratoria manilensis, when attaching to various substrates. We measured the attachment forces on sandpaper and silicate glass plate of locusts with intact attachment system, and those with either the pretarsal claws or the tarsal pads having been entirely destroyed, to explore the role of pads and claws when a locust is walking on various substrates. To obtain information about morphological characteristics and material properties of the claws, we examined the intact and fractured claws by scanning electron microscopy, and tested the fractural force in a fracture experiment. We proposed a mechanical model for locust climbing on a slanting surface to analyze the conduction and final result of the attachment forces generated by the attachment organs on the fore-, mid- and hindlegs. Attachment forces generated by locusts with destroyed pads were similar to those generated by locusts with intact attachment system on both substrates, which presumably indicated that the claws have a significantly important role when attaching to various substrates. The result of the fracture experiment demonstrated that the claws are made of relatively stiff material, and their shear strength ranged between 39–45 MPa. Mechanical analysis of locust climbing on slanting surface showed that the force generated by the hindlegs suspended the whole body of locust up from the surface and pushed the body forward, while the midlegs steadily suspended the centre of gravity and the forelegs pulled the suspended body forward. The results obtained contribute to the further interpretation of the interaction mechanisms between insect attachment system and substrates, and supply information for designing and manufacturing slippery plates for trapping plague locusts.
A Tool Independent Improvement of IBIS Simulation on SSN
Boyuan Zhou,Lixin Yu,Junjian Chu
Lecture Notes in Engineering and Computer Science , 2010,
Abstract:
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