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Öziş, Turgut; Yıldırım, Ahmet

Application of He’s semi-inverse method to the nonlinear Schrödinger equation. (English) Zbl 1157.65465

Comput. Math. Appl. 54, No. 7-8, 1039-1042 (2007).
Summary: A variational theory is established for the nonlinear Schrödinger equation using He’s semi-inverse method. On the basis of the variational principle obtained, a solitary solution is obtained, which is the same as Debnath’s result [L. Debnath, Nonlinear partial differential equations for scientists and engineers. 2nd ed. Boston, MA: Birkhäuser (2005; Zbl 1069.35001)], confirming the validity of our analysis. The method is straightforward and concise.

Cited in 24 Documents

MSC:

65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
35Q51 Soliton equations
35Q55 NLS equations (nonlinear Schrödinger equations)

Keywords:

variational principles; semi-inverse method; Schrödinger equation

Citations:

Zbl 1069.35001
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\textit{T. Öziş} and \textit{A. Yıldırım}, Comput. Math. Appl. 54, No. 7--8, 1039--1042 (2007; Zbl 1157.65465)
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