Results 101 to 110 of about 9,425 (297)

Integrable discretizations for a generalized sine-Gordon equation and the reductions to the sine-Gordon equation and the short pulse equation

open access: yes, 2023
In this paper, we propose fully discrete analogues of a generalized sine-Gordon (gsG) equation $u_{t x}=\left(1+ν\partial_x^2\right) \sin u$. The bilinear equations of the discrete KP hierarchy and the proper definition of discrete hodograph transformations are the keys to the construction.
Sheng, Han-Han   +2 more
openaire   +2 more sources

Closed Form Solutions to the Matrix Sine-Gordon Equation

open access: yes, 2012
An explicit solution formula for the sine-Gordon equation in terms of matrix triplets (A,B,C), where A is p-by-p, B is p-by-1, and C is 1-by-p, is generalized by removing the limitations on the matrix sizes.
VAN DER MEE, CORNELIS VICTOR MARIA   +1 more
core   +1 more source

Banach Contraction Principle Method (BCPM) for solving Sine Gordon equation / Nurain Nabila Hamzah [PDF]

open access: yes, 2023
In this study, the Banach Contraction Principle method (BCPM) is used to solve the Sine Gordon equation (SG). The Sine Gordon equation is a nonlinear partial differential equation which describes in solitary waves in Physics and Engineering.
Hamzah, Nurain Nabila
core  

A numerical direct scattering method for the periodic sine-Gordon equation

open access: yes, 2023
We propose a procedure for computing the direct scattering transform of the periodic sine-Gordon equation. This procedure, previously used within the periodic Korteweg-de Vries equation framework, is implemented for the case of the sine-Gordon equation ...
Novkoski, Filip   +2 more
core   +2 more sources

MKdV方程和SG方程的可积曲面的构造(Conformation of soliton surfaces of MKdV equation and SG equation)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2010
The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation (MKdV) and Sine-Gordon (SG) equation by the n-fold Darboux transformation are given out.
ZHANGLing(张玲), DINGNan(丁楠)
doaj   +1 more source

Inter‐microscope comparability of dental microwear texture data obtained from different optical profilometers: Part II Deriving instrument‐specific correction equations for meta‐analyses using published data

open access: yesThe Anatomical Record, EarlyView.
Abstract Dental microwear texture analysis (DMTA) has emerged as a valuable method for investigating the feeding ecology of vertebrates. Over the past decade, three‐dimensional topographic data from microscopic regions of tooth surfaces have been collected, and surface texture parameters have been published for both extant and fossil species.
Mugino O. Kubo   +4 more
wiley   +1 more source

Analytical Treatments for a Coupled (2+1)-Dimensional Partial Differential Equations in Nonlinear Physics

open access: yesAdvances in Mathematical Physics
The two-dimensional (2D) nonlinear coupled sine-Gordon equations play a significant role in nonlinear physics, describing phenomena in areas such as solid-state physics, fluid dynamics, and nonlinear optics.
Wubshet Ibrahim, Teresa Negesa
doaj   +1 more source

Tooth row allometry in domestic rabbits and nondomestic lagomorphs: Evidence for a decoupling of body and tooth row size changes in evolutionary time

open access: yesThe Anatomical Record, EarlyView.
Domestic rabbits of different body sizes differ disproportionately in the length of their tooth row or the length of their diastema. Abstract In various domestic mammals, smaller breeds tend to have proportionally larger teeth, whereas this is not a universal trend across mammals.
Ursina L. Fasciati   +3 more
wiley   +1 more source

Patterns of spinal motion, kinematic spaces and the land‐to‐sea transition in carnivorans

open access: yesThe Anatomical Record, EarlyView.
Using 3D reconstructions, we quantify intervertebral joint mobility to investigate how cervical, thoracic, and lumbar vertebral regions evolved distinct kinematic roles in pinnipeds. The findings reveal lineage‐specific adaptations for swimming and highlight the functional significance of vertebral joint flexibility in ecological transitions.
Juan Miguel Esteban   +3 more
wiley   +1 more source

Remarks on a variable-coefficient Sine-Gordon equation

open access: yesApplied Mathematics Letters, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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