New solutions of the C.S.Y. equation reveal increases in freak wave occurrence
Sign Up to like & getrecommendations! Published in 2020 at "Wave Motion"
DOI: 10.1016/j.wavemoti.2020.102581
Abstract: Abstract In this article we study the time evolution of broad banded, random inhomogeneous fields of deep water waves. Our study is based on solutions of the equation derived by Crawford, Saffman and Yuen in… read more here.
Keywords: reveal increases; solutions equation; equation reveal; new solutions ... See more keywords
Polynomial Analogs of Theta Functions and Rational Solutions of the KP Equation
Sign Up to like & getrecommendations! Published in 2024 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnae227
Abstract: In this paper we classify the singular curves whose theta divisors in their generalized Jacobians are algebraic, meaning that they are cut out by polynomial analogs of theta functions. We also determine the degree of… read more here.
Keywords: rational solutions; theta functions; solutions equation; functions rational ... See more keywords
Two Reliable Methods for Solving the (3
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/9257019
Abstract: We investigate methods for obtaining exact solutions of the (3 + 1)-dimensional nonlinear space-time fractional Jimbo-Miwa equation in the sense of the modified Riemann-Liouville derivative. The methods employed to analytically solve the equation are the… read more here.
Keywords: equation; expansion method; exact solutions; solutions equation ... See more keywords