• 대한수학회보
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• 제52권4호
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• pp.1185-1199
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• 2015

This paper is concerned with the optimal control problem for the viscous weakly dispersive Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of weak solution to the equation. The optimal control problem for the viscous weakly dispersive BBM equation is introduced, and then the existence of optimal control to the problem is proved.

• East Asian mathematical journal
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• 제33권5호
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• pp.495-509
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• 2017

With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.

• Journal of applied mathematics & informatics
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• 제29권1_2호
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• pp.351-367
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• 2011

In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.

• The Journal of Asian Finance, Economics and Business
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• 제8권2호
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• pp.231-241
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• 2021

The purpose of this study is to apply Structural equation modeling (SEM) analysis with Generalized Structured Component Analysis (GSCA) and translate the effect of Spiritual Marketing and Entrepreneurial Orientation on Sustainable Competitive Advantage with Marketing Capabilities as Mediation, especially for General BBM marketing at PT. Pertamina (Persero). The quantitative approach in this study uses a survey method by taking samples from the population. The survey was conducted by distributing questionnaires to respondents. Data analysis was performed using SEM and analyzed using the GSCA model. The population of this study consisted of 3,207 workers in central and regional marketing offices (Marketing Operation Region (MOR) spread throughout Indonesia. Therefore, a sample of 356 respondents was taken according to the Slovin formula. Spiritual marketing and entrepreneurial orientation directly influence the ability to improve Innovation which directly influences sustainable competitive advantage. Therefore, to develop a sustainable competitive advantage in marketing Pertamina's General BBM, it is necessary to implement spiritual marketing and improve entrepreneurial orientation. The novelty in this study lies in the unprecedented research on the role and position of spiritual marketing towards marketing capabilities and sustainable competitive advantage, combined with entrepreneurial orientation variables.

• 호남수학학술지
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• 제33권2호
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• pp.247-259
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• 2011

In this paper, the $(\frac{G'}{G})$-expansion method is used to construct new exact travelling wave solutions of some nonlinear evolution equations. The travelling wave solutions in general form are expressed by the hyperbolic functions, the trigonometric functions and the rational functions, as a result many previously known solitary waves are recovered as special cases. The $(\frac{G'}{G})$-expansion method is direct, concise, and effective, and can be applied to man other nonlinear evolution equations arising in mathematical physics.

• Composites Research
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• 제16권5호
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• pp.28-38
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• 2003

본 연구는 면내 선형분포하중이 작용하는 직교이방성판의 좌굴거동에 관한 것으로서, 하중이 재하된 두 변은 단순지지되어 있으며 하중이 재하되지 않은 두 변은 회전에 대해 탄성구속된 경계조건을 포함하여 다양한 경계조건을 갖는 직교이방성판의 좌굴해석식을 정밀해법을 사용하여 유도하였다. 좌굴해석 수행 결과를 사용하여 하중이 재하되지 않은 두 변이 특정 경계조건인 경우를 포함하여 회전에 대해 탄성구속된 판의 좌굴해석을 위한 근사식을 판의 형상비와 탄성구속 정도를 나타내는 계수 및 재료의 성질의 함수로 제시하였다. 제시된 근사식을 사용할 경우 재료의 성질과 판의 형상비 및 하중이 재하되지 않은 변의 탄성구속정도를 알면 단순계산으로 직교이방성판의 좌굴해석을 수행할 수 있도록 하였다. 여러 가지 직교이방성 재료에 대해 근사식에 의한 해석결과와 정밀해법에 의한 해석결과를 비교한 결과 1.5% 미만의 차를 나타냈었다.