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Analytical soliton solutions of the (2$$+$$+1)-dimensional sine-Gordon equation

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In this letter, we investigated a new (2$$+$$+1)-dimensional sine-Gordon equation. By the subsidiary ordinary differential equation method, some new explicit solutions are given. These solutions include hyperbolic function solutions and… Click to show full abstract

In this letter, we investigated a new (2$$+$$+1)-dimensional sine-Gordon equation. By the subsidiary ordinary differential equation method, some new explicit solutions are given. These solutions include hyperbolic function solutions and trigonometric function solutions amongst others. In particular, a topological 1-soliton solution is derived.

Keywords: sine gordon; gordon equation; analytical soliton; dimensional sine; equation

Journal Title: Nonlinear Dynamics
Year Published: 2017

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