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in this paper, nonlinear klein-gordon equation with quadratic term is solved by means of an analytic technique, namely the homotopy analysis method (ham).comparisons are made between the adomian decomposition method (adm), the exact solution and homotopy analysis method. the results reveal that the proposed method is very effective and simple.

The author would like to thank Jennifer Harvey, Hilary Michels, and Megan Taylor for their assistance with data collection and Colleen Willard-Holt and Kathy Brode for their help with this article. Correspondence concerning this article should be addressed to Xu Xu, School of Behavioral Sciences and Education, Pennsylvania State University, Harrisburg, Middletown, PA 17057. E-mail: [email protected]...

In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.

Ontology has frequently been understood as the theory of the ultimate classes of existents or entities and of characteristics of and structures that belong to all entities merely as such. 1 Understood in this way acts of human cognition, for example, like all other events, obviously fall within the domain of ontology. There are thus also certain special or 'regional' ontologies, which attempt t...