2,243 research outputs found
A direct method for solving the generalized sine-Gordon equation II
The generalized sine-Gordon (sG) equation
was derived as an integrable generalization of the sG equation. In a previous
paper (Matsuno Y 2010 J. Phys. A: Math. Theor. {\bf 43} 105204) which is
referred to as I, we developed a systematic method for solving the generalized
sG equation with . Here, we address the equation with . By
solving the equation analytically, we find that the structure of solutions
differs substantially from that of the former equation. In particular, we show
that the equation exhibits kink and breather solutions and does not admit
multi-valued solutions like loop solitons as obtained in I. We also demonstrate
that the equation reduces to the short pulse and sG equations in appropriate
scaling limits. The limiting forms of the multisoliton solutions are also
presented. Last, we provide a recipe for deriving an infinite number of
conservation laws by using a novel B\"acklund transformation connecting
solutions of the sG and generalized sG equations.Comment: To appear in J. Phys. A: Math. Theor. The first part of this paper
has been published in J. Phys. A: Math. Theor. 43 (2010) 10520
Assessment of performance and impact of irrigation and water resources systems in Taiwan and Sri Lanka
Irrigation systems / Water scarcity / Water allocation / Water supply / Water quality / Water distribution / Decision making / Water management / Regression analysis / Performance evaluation / Sustainability / Irrigated farming / Agricultural development / Farm size / Irrigation management / Farmers' associations / Rain / Paddy cultivation / Crop yield / Costs / Productivity
Chemical potential shift in La(1-x)Sr(x)MnO(3): Photoemission test of the phase separation scenario
We have studied the chemical potential shift in La(1-x)Sr(x)MnO(3) as a
function of doped hole concentration by core-level x-ray photoemission. The
shift is monotonous, which means that there is no electronic phase separation
on a macroscopic scale, whereas it is consistent with the nano-meter scale
cluster formation induced by chemical disorder. Comparison of the observed
shift with the shift deduced from the electronic specific heat indicates that
hole doping in La(1-x)Sr(x)MnO(3) is well described by the rigid-band picture.
In particular no mass enhancement toward the metal-insulator boundary was
implied by the chemical potential shift, consistent with the electronic
specific heat data.Comment: 7 pages, 3 figures, to be published in Europhysics Letter
Multi loop soliton solutions and their interactions in the Degasperis-Procesi equation
In this article, we construct loop soliton solutions and mixed soliton - loop
soliton solution for the Degasperis-Procesi equation. To explore these
solutions we adopt the procedure given by Matsuno. By appropriately modifying
the -function given in the above paper we derive these solutions. We
present the explicit form of one and two loop soliton solutions and mixed
soliton - loop soliton solutions and investigate the interaction between (i)
two loop soliton solutions in different parametric regimes and (ii) a loop
soliton with a conventional soliton in detail.Comment: Published in Physica Scripta (2012
A direct method of solution for the Fokas-Lenells derivative nonlinear Schr\"odinger equation: I. Bright soliton solutions
We develop a direct method of solution for finding the bright -soliton
solution of the Fokas-Lenells derivative nonlinear Schr\"odinger equation. The
construction of the solution is performed by means of a purely algebraic
procedure using an elementary theory of determinants and does not rely on the
inverse scattering transform method. We present two different expressions of
the solution both of which are expressed as a ratio of determinants. We then
investigate the properties of the solutions and find several new features.
Specifically, we derive the formula for the phase shift caused by the
collisions of bright solitons.Comment: To appear in J. Phys. A: Math. Theor. 45(2012) Ma
Free field approach to diagonalization of boundary transfer matrix : recent advances
We diagonalize infinitely many commuting operators . We call these
operators the boundary transfer matrix associated with the quantum
group and the elliptic quantum group. The boundary transfer matrix is related
to the solvable model with a boundary. When we diagonalize the boundary
transfer matrix, we can calculate the correlation functions for the solvable
model with a boundary. We review the free field approach to diagonalization of
the boundary transfer matrix associated with and
. We construct the free field realizations of the
eigenvectors of the boundary transfer matrix . This paper includes new
unpublished formula of the eigenvector for . It is thought that
this diagonalization method can be extended to more general quantum group
and elliptic quantum group .Comment: To appear in Group 28 : Group Theoretical Method in Physic
A new ultra high energy gamma ray telescope at Ohya mine
The search for ultra high energy gamma rays coming from point sources is one of the main experimental aims. A fast air shower timing system was constructed at ICRR for the study of the angular resolution of the system and operated approximately half a year. The characteristics of the surface array of Ohya air shower telescope is described
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