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Zbl 1078.35105
Sun, Qiang
Solving the Klein-Gordon equation by means of the homotopy analysis method.
(English)
[J] Appl. Math. Comput. 169, No. 1, 355-365 (2005). ISSN 0096-3003

Summary: An analytic technique, namely the homotopy analysis method, is applied to solve the nonlinear travelling waves governed by the Klein-Gordon equation. The phase speed and the solution, which are dependent on the amplitude $a$, are given and valid in the whole region $0\leqslant a < +\infty$.
MSC 2000:
*35Q53 KdV-like equations
37K40 Soliton theory, asymptotic behavior of solutions
81Q05 Closed and approximate solutions to quantum-mechanical equations

Keywords: Travelling waves; Phase speed; Analytic solution

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