Exact solutions of nonlinear differential equations are of great importance to the theory and
practice of complex systems. The main point of this review article is to discuss a specific …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

Abstract A nonlinear, 2 1 2-layer model is used to study the dynamics of wind-driven
equatorial ocean circulation, including the generation of mean flows and instabilities. The …

We study the nonlinear equations of motion for equatorial wave–current interactions in the
physically realistic setting of azimuthal two-dimensional inviscid flows with piecewise …

We observe a localized cnoidal (LCn) state in an electric circuit network. Its formation
derives from the interplay of nonlinearity and the topology inherent to a Su-Schrieffer …

The BO equation depicts the evolution of algebraic Rossby solitary waves in ocean and
atmosphere. But, despite its overt fame, the BO equation is restricted as a two-dimensional …

The Nonlinear Interaction of Barotropic and Equatorial Baroclinic Rossby Waves in: Journal of
the Atmospheric Sciences Volume 60 Issue 15 (2003) Jump to Content Jump to Main …

Rotating Thermal Flows in Natural and Industrial Processes provides the reader with a
systematic description of the different types of thermal convection and flow instabilities in …

In this paper, we investigate the (2+ 1) dimensional nonlinear Rossby waves under non-
traditional approximation. Using the asymptotic methods of multiple scales and weak …

The accuracy and efficiency of an Eulerian method is assessed by solving the non-linear
shallow water equations and compared with the performances of an existing semi …