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New exact solutions for the sine-Gordon equation in 2+1 dimensions

Steven L. Johnson, Pablo Suarez, Anjan Biswas

Computational Mathematics and Mathematical Physics · 2012 · 27 citations · 11 references

DOI

Concepts

Abstract

This paper gives three new solutions to solve the 2D sine-Gordon equation. Of particular interest is the Domain wall collision to 2D sine-Gordon equation which to the authors knowledge have not been presented in the literature.

References

11

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Numerical study of 2+1 dimensional sine-Gordon solitons

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Exact Three-Soliton Solution of the Two-Dimensional Sine-Gordon Equation

Ryogo Hirota · Journal of the Physical Society of Japan · 1973 · 109 citations

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New Exact Solutions of the Classical Sine-Gordon Equation in 2 + 1 and 3 + 1 Dimensions

George Leibbrandt · Physical Review Letters · 1978 · 89 citations

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Particular solutions of the sine-Gordon equation in 2 + 1 dimensions

J. Zagrodziński · Physics Letters A · 1979 · 56 citations

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