On the Cauchy problem for the strong dissipative fifth-order KdV equations
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2019.02.002
Abstract: Abstract We study the Cauchy problem for the strong dissipative fifth-order KdV equations (0.1) ∂ t u + β 1 ∂ x 5 u + β 2 ∂ x 4 u = c 1 u… read more here.
Keywords: order kdv; fifth order; kdv equations; cauchy problem ... See more keywords
An exploration of the (3+1)-dimensional negative order KdV-CBS model: Wave solutions, Bäcklund transformation, and complexiton dynamics
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DOI: 10.1371/journal.pone.0296978
Abstract: This research paper focuses on the study of the (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff (KdV-CBS) equation, an important nonlinear partial differential equation in oceanography. The primary objective is to explore various solution techniques and analyze their… read more here.
Keywords: equation; order kdv; negative order; wave solutions ... See more keywords
Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation
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DOI: 10.3390/sym15030626
Abstract: In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values of the free parameters, various colliding exact solutions in the form of rogue wave, symmetric bell… read more here.
Keywords: interaction; rogue wave; higher order; dynamical structures ... See more keywords