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CPT Symmetries and the Backlund Transformations
Hans J. Wospakrik, Freddy P. Zen
We show that the auto-Backlund transformations of the sine-Gordon, Korteweg-deVries, nonlinear Schrodinger, and Ernst equations are related to their respective CPT symmetries. This…
Lax Pair Formulation and Multi-soliton Solution of the Integrable Vector Nonlinear Schrodinger Equation
Freddy P. Zen, Hendry I. Elim
The integrable vector nonlinear Schrodinger (vector NLS) equation is investigated by using Zakharov-Shabat (ZS) scheme. We get a Lax pair formulation of the vector NLS model. Multi…
Multi-soliton Solution of the Integrable Coupled Nonlinear Schrodinger Equation of Manakov Type
Freddy P. Zen, Hendry I. Elim
The general multi-soliton solution of the integrable coupled nonlinear Schrodinger equation (NLS) of Manakov type is investigated by using Zakharov-Shabat (ZS) scheme. We get the b…
Inhomogeneous Burgers Equation and the Feynman-Kac Path Integral
Hans J. Wospakrik, Freddy P. Zen
By linearizing the inhomogeneous Burgers equation through the Hopf-Cole transformation, we formulate the solution of the initial value problem of the corresponding linear heat type…