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This paper studies optical soliton perturbation that appears with quadratic-cubic nonlinearity, by the aid of Adomian decomposition method (ADM). Bright, dark and W -shaped solitons are examined that are obtained by the aid of this numerical scheme. The error plots are also given to give a taste of the accuracy of this scheme. [ABSTRACT FROM AUTHOR]

Abstract: This paper considers a just-in-time (JIT) manufacturing system in which a single manufacturer procures raw materials from a single supplier, process them to produce finished products, and then deliver the products to a single-buyer. The customer demand rate is assumed to be linearly decreasing time-varying. In the JIT system, in order to minimize the suppliers as well as the buyers holding costs, the supply of raw materials and the delivery of finished products are made in small quantities. In this case, both the supply and the delivery may require multiple installments for a single production lot. We develop a mathematical model for this problem, propose a simple methodology for solving the model, and illustrate the effectiveness of the method with numerical examples. [Copyright &y& Elsevier]

This paper studies fractional temporal evolution of optical solitons with quadratic–cubic nonlinearity that comes with a few perturbation terms. Khalil's conformable fractional derivative as well as Liu's extended trial function scheme are applied to retrieve these soliton solutions. The results are applicable to mitigate Internet bottleneck that is a growing problem in telecommunications industry. [ABSTRACT FROM AUTHOR]