Results 41 to 50 of about 292 (78)
Solitons of the vector KdV and Yamilov lattices [PDF]
Journal of Physics A, 52 (2019) 465203, 2019 We study a vector generalizations of the lattice KdV equation and one of the simplest Yamilov equations. We use algebraic properties of a certain class of matrices to derive the N-soliton solutions.
arxiv +1 more source
Journal of Ocean Engineering and Science, 2022 This work aims to construct exact solutions for the space-time fractional (2 + 1)- dimensional dispersive longwave (DLW) equation and approximate long water wave equation (ALW) utilizing the two-variable (G′/G,1/G)-expansion method and the modified ...
Mohammad Asif Arefin +3 more
doaj
Rotational Symmetry of Conical Kähler-Ricci Solitons [PDF]
, 2013 We show that expanding K\"ahler-Ricci solitons which have positive holomorphic bisectional curvature and are asymptotic to K\"ahler cones at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.
arxiv +1 more source
Absence of solitons for the defocusing NLS equation on the half-line [PDF]
arXiv, 2014 It has been conjectured that the defocusing nonlinear Schr\"odinger (NLS) equation on the half-line does not admit solitons. We give a proof of this conjecture.
arxiv
Alexandria Engineering Journal, 2022 The space–time fractional coupled modified equal-width equation and the coupled Boussinesq equation are a category of fractional partial differential equations, which might be crucial mathematical feathers in nonlinear optics, solid-state physics ...
M. Ayesha Khatun +4 more
doaj
Hylomorphic solitons for the Benjamin-Ono and the fractional KdV equations [PDF]
arXiv, 2016 This paper concerns with the existence of solitons, namely stable solitary waves, for the Benjamin-Ono and the fractional KdV equations.
arxiv
Variable separated ODE method--A powerful tool for testing traveling wave solutions of nonlinear equations [PDF]
arXiv, 2018 The variable separated ODE method is extended by choosing the additional variable separated equation as the general elliptic equation. More exact traveling wave solutions of nonlinear equations are obtained by using the method of comparison of coefficients and the known solutions of the auxiliary equation.
arxiv
Alexandria Engineering Journal, 2020 The present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation.
Md Nur Alam, Cemil Tunç
doaj
Analytical behavior of weakly dispersive surface and internal waves in the ocean
Journal of Ocean Engineering and Science, 2022 The (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is described by the space-time fractional Calogero-Degasperis (CD) and fractional potential Kadomstev-Petviashvili (PKP) equation.
Mohammad Asif Arefin +3 more
doaj
On the factorization formula for fundamental solutions in the inverse spectral transform [PDF]
J. Differential Equations 252 (2012), 3658--3667, 2010 A factorization formula for wave functions, which is basic in the inverse spectral transform approach to initial-boundary value problems, is proved in greater generality than before. Applications follow. Related compatibility questions for the GBDT version of B\"acklund-Darboux transformation are treated too.
arxiv