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The Construction of Particular Solutions of the Nonlinear Equation of Schrodinger Type

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Advances in Applied Mathematics and Approximation Theory

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 41))

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Abstract

Using the method of \(\bar{\partial }\)-problem, based on the nonlocal \(\bar{\partial }\)-problem, partial solutions for 2 + 1-dimensional nonlinear equation of Schrodinger type are constructed.

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References

  1. L.V. Bogdanov and S.V. Manakov, The non–local \(\overline{\partial }\) problem and (2+1)–dimensional soliton equations, J. Phys. A 21 (10) (1988) 537–544.

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  2. L. Martina, Kur.Myrzakul, R. Myrzakulov and G. Soliani, J. Math. Phys. 42 (3) (2001) 1397–1417.

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  3. V.E. Zakharov and S.V. Manakov, Multidimensional nonlinear integrable systems and methods for constructing their solutions, J. Sov. Math. 31 (6) (1985) 3307–3316.

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Correspondence to K. R. Yesmakhanova .

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Yesmakhanova, K.R., Myrzakulova, Z.R. (2013). The Construction of Particular Solutions of the Nonlinear Equation of Schrodinger Type. In: Anastassiou, G., Duman, O. (eds) Advances in Applied Mathematics and Approximation Theory. Springer Proceedings in Mathematics & Statistics, vol 41. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6393-1_19

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