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Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schr...
ISSN: 2791 - 8564Publisher: author   
Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schr...
Indexed in
Mathematics and Statistics
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 3
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 3
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International Category Code (ICC):
ICC-1102
Publisher: Mehmet Yavuz
International Journal Address (IAA):
IAA.ZONE/2791123818564
eISSN
:
2791 - 8564
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Abstract
In this study, an alternative method has been applied to obtain the new wave solution of mathematical equations used in physics, engineering, and many applied sciences. We argue that this method can be used for some special nonlinear partial differential equations (NPDEs) in which the balancing methods are not integer. A number of new complex hyperbolic trigonometric traveling wave solutions have been successfully generated in the Eckhaus equation (EE) and nonlinear Klein-Gordon (nKG) equation models associated with the Schrödinger equation. The graphs representing the stationary wave are presented by giving specific values to the parameters contained in these solutions. Finally, some discussions about new complex solutions are given. It is discussed by giving physical meaning to the constants in traveling wave solutions, which are physically important as well as mathematically. These discussions are supported by three-dimensional sim...