Gaussian solitary waves for the logarithmic-BBM and the logarithmic-TRLW equations

摘要

We investigate the logarithmic-BBM equation (log-BBM) for the determination of Gaussian solitary waves. We extend this work to study the logarithmic-TRLW equation (log-TRLW). The logarithmic nonlinearity for both models will be generalized to obtain generalized Gaussian soliton solutions. Both logarithmic models are characterized by possessing Gaussian solitons. Solitons appear in many chemical applications such as electrically conducting polyenes, polarons, bipolarons, and bolitons in conducting polymers.