2012•Journal Applied MathematicsOpen access

Exact Elliptic Solution for Non-Linear Klein-Gordon Equation Via Auxiliary Equation Method

Galal M. Moatimid, M. H. M. Moussa, Rehab M. El‐Shiekh, A. A. El‐Satar

Abstract

By using symbolic computation, we apply Auxiliary equation method to construct exact solutions of Non-Linear Klein-Gordon equation. We show that Auxiliary equation method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.

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Key concepts: Klein–Gordon equation, Mathematics, Computation, Nonlinear system, Applied mathematics, Characteristic equation, Construct (python library), Elliptic curve