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The tanh-coth method is used to seek solutions to obtain solutions to the new integrable sixth-order Korteweg-de Vries equation (KdV6). Following the analogy between the Korteweg-de Vries equation (KdV) and the modified Korteweg-de Vries equation (MKdV) we construct a new system equivalent to KdV6 from which exact solutions to original equation and derived,(More)
1 Departamento de Matemáticas, Universidad Nacional de Colombia, Calle 45, Carrera 30, P.O. Box: Apartado Aéreo: 52465, Bogotá, Colombia 2 Departamento de Matemáticas, Universidad Nacional de Colombia, Carrera 27 no. 64–60, P.O. Box: Apartado Aéreo 127, Manizales, Colombia 3 Departamento de Matemáticas, Universidad de Caldas, Calle 65 no. 26–10, Caldas,(More)
Low-lying states of an ion-molecular D þ 2 complex in quantum rings with different and small cross-sections are analyzed. Following the adiabatic procedure, we have deduced a one-dimensional wave equation with periodic conditions, which describes low-lying levels related to the electron rotation around the symmetric axis under the Coulomb interaction with(More)
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