JSTOR Daily

On the Complete Integrability and Linearization of Nonlinear Ordinary Differential Equations. V. Linearization of Coupled Second-Order Equations

Linearization of coupled second-order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper, we describe ...
JSTOR Daily

On the Synthesis of a Class of Second Order Nonlinear Differential Equations

SIAM Journal on Applied Mathematics, Vol. 17, No. 3 (May, 1969), pp. 511-515 (5 pages) In this paper, a method of synthesizing the governing differential equations of nonlinear second order systems, ...
Nature

Camassa-Holm Equation and Nonlinear Wave Dynamics

The Camassa–Holm equation is a nonlinear partial differential equation that has garnered considerable attention for its integrable structure and its capacity to model shallow water waves. Recognised ...
Quanta Magazine

New Quantum Algorithms Finally Crack Nonlinear Equations

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...