• Journal of Astronomy and Space Sciences
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• 제21권3호
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• pp.201-208
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• 2004

In this paper we have examined the effect of dust charge density on nonlinear ion acoustic solitary wave which propagates obliquely with respect to the external magnetic field in a dusty plasma. For the dusty charge density below a critical value, the Sagdeev potential $\Psi1(n)$ has a singular point in the region n < 1, where n is the ion number density divided by its equilibrium number density. If there exists a dust charge density over the critical value, the Sagdeev potential becomes a finite function in the region n < 1, which means that there may exist the rarefactive ion acoustic solitary wave. By expanding the Sagdeev potential in the small amplitude limit up to on4 near n=1, we find the solution of ion acoustic solitary wave. Therefore we suggest that the dust charge density plays an important role in generating the rarefactive solitary wave.

• 대한수학회논문집
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• 제35권2호
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• pp.685-695
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• 2020

In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abundantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods.

• Journal of Multimedia Information System
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• 제6권1호
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• pp.31-35
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• 2019

The Socialist Republic of Vietnam has become one of the top ten nations with the highest aging rate. The proportion of their aging population increased from 7.2% to 10.95% from 1989 to 2017 and entered into the aging society six years earlier than what had been anticipated in 2011. The main issues in such a society are the problems associated with the elderly living by themselves and their solitary deaths. This study attempts to find a solution which would mitigate the burdens of aging or aged population who are living in a lonely and solitary living condition focusing on the system used for the purpose of managing or monitoring of their daily lives to prevent any undesirable outcomes including solitary deaths. The study also discusses the possibility of introducing the system into Vietnam.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.197-208
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• 2006

This paper deals with the exact solution of surface gravity waves in an ocean with irregular bed topography. In order to obtain water surface elevation and run-up of infra-gravity waves when the bed is either wavy or exponential, closed form solutions are obtained. Numerical computations indicate that when solitary wave or sinusoidal wave conditions are applied at the boundary, water surface elevation attains near Gaussian profile.

• 대한수학회지
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• 제37권6호
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• pp.977-989
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• 2000

In this paper we construct a standing solitary wave solution with prescribed total electric charge to the planer Chern-Simons gauged nonlinear Schrodinger equation with an external electromagnetic field by using a variations method.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.119-130
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• 2002

An extended Jacobin elliptic function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations(PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation that Jacobin elliptic functions satisfy and use its solutions to replace Jacobin elliptic functions in Jacobin elliptic function method. It is interesting that many other methods are special cases of our method. Some illustrative equations are investigated by this means.

• International Journal of Naval Architecture and Ocean Engineering
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• 제9권4호
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• pp.390-403
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• 2017

Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH). Compared with the former one, ISPH method performs better in many cases. ISPH based on Rankine source solution can perform better than traditional ISPH, as it can use larger stepping length by avoiding the second order derivative in pressure Poisson equation. However, ISPH_R method needs to solve the sparse linear matrix for pressure Poisson equation, which is one of the most expensive parts during one time stepping calculation. Iterative methods are normally used for solving Poisson equation with large particle numbers. However, there are many iterative methods available and the question for using which one is still open. In this paper, three iterative methods, CGS, Bi-CGstab and GMRES are compared, which are suitable and typical for large unsymmetrical sparse matrix solutions. According to the numerical tests on different cases, still water test, dam breaking, violent tank sloshing, solitary wave slamming, the GMRES method is more efficient than CGS and Bi-CGstab for ISPH method.

• 한국정보통신학회:학술대회논문집
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• 한국정보통신학회 2022년도 추계학술대회
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• pp.520-522
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• 2022

초고령화사회에 접어들면서 독거노인의 수도 증가하고 있고 따라서 고독사도 증가하고 있다. 따라서 본 논문에서는 디지털 기술을 활용한 독거노인을 위한 알리미 서비스를 살펴보고 다음과 같은 방안을 제언한다. 첫째, 기존 유선으로만 이루어지는 응급 상황 여부에 대해서 센서 감지, AI 감성 로봇 활용 등으로 디지털 정보 수집 및 상황 파악이 이루어져야 한다. 둘째, 분기별 1회 이루어졌던 직접 방문 시에는 장비 점검 및 디지털 상황을 검토해야하고 유선으로 이루어졌던 월 2회 간접 방문을 디지털 기기를 활용해 확대하도록 한다. 셋째, 독거노인, 장애인 등의 안전 확인 곤란 또는 응급상황 발생시 신속한 대처를 위해 디지털 응급안전망체계를 구축한다. 또한 마지막으로 이러한 디지털 시스템을 구축하기 위해 이용자 교육이 이루어져야 하며 신규이용자에게 장비사용 교육을 하는 것은 물론, 정기적으로 재교육이 이루어지는 것이 효과적일 것이다.

• 대한토목학회논문집
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• 제29권3B호
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• pp.289-301
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• 2009

본 연구에서는 Navier-Stokes방정식과 자유수면추적을 위해 도입한 VOF함수의 이류방정식에 기초하고 있는 CADMAS-SURF(CDIT, 2001)에 Fenton(1972)의 3차근사고립파이론에 의한 조파이론을 새롭게 도입한 수치파동수로로부터 직립호안상에서 지진해일(고립파)의 처오름 및 작용파력을 해석한다. 기존의 연구결과와 대비하여 본 수치해석결과의 적용성을 논의하며, 최소자승법에 기초하여 직립호안상에서 최대처오름과 최대파력을 합리적으로 추정할 수 있는 회귀식을 제안한다. 또한, 육상구조물에 작용하는 지진해일(tsunami wave)의 파력산정에 CADMAS-SURF(CDIT, 2001)의 적용을 시도한다. 육상에서 지진해일의 수위변동, 유속 및 파력변동의 특성으로부터 육상구조물에 미치는 지진해일의 직접적인 영향을 추론할 수 있을것이다.

• Ocean Systems Engineering
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• 제5권4호
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• pp.261-277
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• 2015

Internal solitary waves occur due to density stratification and are nonlinear in nature. These waves have been observed in many parts of the world including the South China Sea, Andaman Sea and Sulu Sea. Their effect on floating systems has been an emerging field of interest and recent offshore developments in the South China Sea where several offshore oil and gas discoveries are located have confirmed adverse effects including large platform motions and riser system damage. A valid numerical model conforming to the physics of internal waves is implemented in this paper and the effect on a spar platform is studied. The physics of internal waves is modeled by the Korteweg-de Vries (KdV) equation, which has a general solution involving Jacobian elliptical functions. The effects of vertical density stratification are captured by solving the Taylor Goldstein equation. Fully coupled time domain analyses are conducted to estimate the effect of internal waves on a typical truss spar, which is configured to South China Sea development requirements and environmental conditions. The hull, moorings and risers are considered as an integrated system and the platform global motions are analyzed. The study could be useful for future guidance and development of offshore systems in the South China Sea and other areas where the internal wave phenomenon is prominent.