Abstract
We encounter scalar fields everywhere in nature, although some may seem fainter than in the early universe. The models of this field having the logarithmic non-linearity are considered in inflation cosmology and supersymmetric field theories especially Q-ball dynamics model, quantum mechanics and nuclear physics. Till now, numerical studies and theoretical analysis of the considered problems have been studied. Purpose of the study is to obtain the analytical solutions of the Q-ball dynamics model via the ansatz-based method. The results have been seen in the literature for the first time to the best of our knowledge. The resulting solutions are useful in interpreting the study of wave propagation and have many applications in physics and the multidisciplinary audience.
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