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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)
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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