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- W2023656489 abstract "Abstract It has been shown that many fully nonlinear wave equations with nonlinear dispersion terms possess compacton solutions and solitary patterns solutions. In this paper, with the aid of Maple, the mKdV equation, the equation with a source term, the five order KdV-like equation and the KdV–mKdV equation are investigated using some new, generalized transformations. As a consequence, it is shown that these equations with linear dispersion terms admit new compacton-like solutions and solitary patterns-like solutions. These transformations can be also extended to other nonlinear wave equations with nonlinear dispersion terms to seek new compacton-like solutions and solitary patterns-like solutions." @default.
- W2023656489 created "2016-06-24" @default.
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- W2023656489 date "2006-03-01" @default.
- W2023656489 modified "2023-09-28" @default.
- W2023656489 title "New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms" @default.
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- W2023656489 doi "https://doi.org/10.1016/j.na.2005.03.115" @default.
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