Linear superposition in nonlinear equations.

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method

On linear superposition in nonlinear wave and evolution equations

Real and bounded elliptic solutions suitable for applying the KhareSukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified KadomtsevPetviashvili equation (gmKPE) and the nonlinear cubic-quintic Schrödinger equation (NLCQSE).

Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition

We show that a type of linear superposition principle works for several nonlinear differential equations. Using this approach, we find periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual pr...

New Periodic Solutions of Nonlinear Equations Obtained by Linear Superposition

We find new periodic solutions of the Kadomtsev-Petviashvili (KP) equation, the nonlinear Schrödinger (NLS) equation, the λφ4 model, the sine-Gordon equation and the Boussinesq equation by making appropriate linear superpositions of known periodic solutions. This unusual procedure for generating solutions of nonlinear differential equations is successful as a consequence of some powerful, recen...