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COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS
Wazwaz, Abdul-Majid The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.3
We make use of the simplified Hirota's bilinear method with computer symbolic computation to study a variety of coupled potential KdV (pKdV) equations. Each coupled equation is completely integrable and gives multiple soliton solutions and multiple singular soliton solutions. The phase shifts for all coupled pKdV equations are identical whereas the coefficients of the obtained solitons are not identical. The four coupled pKdV equations are resonance free.
N-SOLITON SOLUTIONS FOR THE SINE-GORDON EQUATION OF DIFFERENT DIMENSIONS
Wazwaz, Abdul-Majid The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this work the sine-Gordon equation will be examined for multiple soliton solutions. The higher dimensional sine-Gordon equations will be studied for multiple soliton solutions as well. The simplified form of the Hirota's method will be employed to conduct this analytic study.
N-SOLITON SOLUTIONS FOR THE SINE-GORDON EQUATION OF DIFFERENT DIMENSIONS
Abdul-Majid Wazwaz 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.5
In this work the sine-Gordon equation will be examined for multiple soliton solutions. The higher dimensional sine-Gordon equations will be studied for multiple soliton solutions as well. The simplified form of the Hirota's method will be employed to conduct this analytic study.
COMPLETELY INTEGRABLE COUPLED POTENTIAL KDV EQUATIONS
Abdul-Majid Wazwaz 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
We make use of the simpli¯ed Hirota's bilinear method with computer symbolic computation to study a variety of coupled potential KdV (pKdV) equations. Each coupled equation is completely integrable and gives multiple soliton solutions and multiple singular soliton solutions. The phase shifts for all coupled pKdV equations are identical whereas the coeffcients of the obtained solitons are not identical. The four coupled pKdV equations are resonance free.
ON THE SOLUTIONS OF THE PROBLEM OF VISCOUS FLOW OVER SHRINKING SHEET
BOUGOFFA, LAZHAR,WAZWAZ, ABDUL-MAJID The Korean Society for Computational and Applied M 2017 Journal of applied mathematics & informatics Vol.35 No.5
In this paper, we explain how the exact closed-form solutions of the classical problems of viscous fluid flow over a heated stretching plate and shrinking sheet can be obtained by a reliable method.
ON THE SOLUTIONS OF THE PROBLEM OF VISCOUS FLOW OVER SHRINKING SHEET
Lazhar Bougoffa,Abdul-Majid Wazwaz 한국전산응용수학회 2017 Journal of applied mathematics & informatics Vol.35 No.5
In this paper, we explain how the exact closed-form solutions of the classical problems of viscous fluid flow over a heated stretching plate and shrinking sheet can be obtained by a reliable method.