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math-ph2017★ 3 cited
Traveling wave solutions for wave equations with two exponential nonlinearities
S. C. Mancas, H. C. Rosu, M. Perez-Maldonado
We use a simple method that leads to the integrals involved in obtaining the traveling wave solutions of wave equations with one and two exponential nonlinearities. When the consta…
math-ph2017★ 4 cited
Stability of solitary and cnoidal traveling wave solutions for a fifth order Korteweg-de Vries equation
Ronald Adams, Stefan C. Mancas
We establish the nonlinear stability of solitary waves (solitons) and periodic traveling wave solutions (cnoidal waves) for a Korteweg-de Vries (KdV) equation which includes a fift…