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
Two new integrable modified KdV equations, of third-and fifth-order, with variable coefficients: multiple real and multiple complex soliton solutions
Sign Up to like & getrecommendations! Published in 2019 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2019.1631504
Abstract: ABSTRACT In this work, we develop two new integrable modified KdV equations, of third and fifth orders, with time-dependent coefficients, which can be used to describe many nonlinear phenomena in fluid dynamics and solitary waves… read more here.
Keywords: new integrable; variable coefficients; two new; kdv equations ... See more keywords
Nonlinear Stability of the Periodic Traveling Wave Solution for a Class of Coupled KdV Equations
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematical Physics"
DOI: 10.1155/2020/3875038
Abstract: In this paper, by applying the Jacobian ellipse function method, we obtain a group of periodic traveling wave solution of coupled KdV equations. Furthermore, by the implicit function theorem, the relation between some wave velocity… read more here.
Keywords: wave solution; coupled kdv; kdv equations; solution ... See more keywords
A Comparative Study of the Fractional Coupled Burgers and Hirota-Satsuma KdV Equations via Analytical Techniques
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14071364
Abstract: This paper applies modified analytical methods to the fractional-order analysis of one and two-dimensional nonlinear systems of coupled Burgers and Hirota–Satsuma KdV equations. The Atangana–Baleanu fractional derivative operator and the Elzaki transform will be used… read more here.
Keywords: kdv equations; hirota satsuma; burgers hirota; satsuma kdv ... See more keywords