Traveling wave solutions for wave equations with two exponential nonlinearities
"We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while whe...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | México |
| Recursos: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repositorio: | Repositorio Institucional del IPICYT |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/2013 |
| Acesso em linha: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2013 |
| Access Level: | acceso embargado |
| Palavra-chave: | info:eu-repo/classification/Autor/Dodd-Bullough info:eu-repo/classification/Autor/Dodd-Bullough-Mikhailov info:eu-repo/classification/Autor/Liouville Equation info:eu-repo/classification/Autor/sine-Gordon info:eu-repo/classification/Autor/sinh-Gordon info:eu-repo/classification/Autor/Tzitzéica info:eu-repo/classification/Autor/Weierstrass Function info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/22 |
| Resumo: | "We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the basic travelling-wave solutions of Liouville, Tzitzéica, and their variants, as as well sine/sinh-Gordon equations with important applications in the phenomenology of nonlinear physics and dynamical systems are found through a detailed study of the corresponding elliptic equations." |
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