Compactons dispersive structures for variants of the K(n,n) and the KP equations |
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| Affiliation: | 1. Department of Physics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Ramapuram Campus, Ramapuram, Chennai, Tamilnadu 600 089, India;2. Instituto de Física, Universidade Federal de Goiás, Goiânia, Goiás 74.690-900, Brazil;1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt;2. Department of Mathematics, Saint Xavier University, Chicago, IL 60655, United States |
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| Abstract: | In this paper we discuss two generalized forms of the K(n,n) and the KP equations that exhibit compactons: solitons with the absence of infinite wings, and solitary patterns solutions having infinite slopes or cusps. The variants are extended to include nonlinear dispersion to support compactons structures and solitary patterns in higher dimensions. Two distinct general formulas for compact and noncompact solutions, that are of substantial interest, are formally developed. |
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