Symmetry reduction and new non-traveling wave solutions of (2+1)-dimensional AKNS equation

Abstract

Abstract:

The (2+1)-dimensional AKNS equation was reduced to (1+1)-dimensional nonlinear partial differential equation by applying the Lie group method. As to the reduced equation, some new non-traveling wave exact solutions were obtained with extended homoclinic test approach. These results enrich the connotations of integrability of the equation and dynamical behavior of (2+1)-dimensional nonlinear wave propagation.

Key words: nonlinear equation, (2+1)-dimensional AKNS equation, Lie group method, extended homoclinic test method, non-traveling wave exact solutions

CLC Number:

O175.2

KANG Xiao-rong,XIAN Da-quan. Symmetry reduction and new non-traveling wave solutions of (2+1)-dimensional AKNS equation[J]. J4, 2013, 30(6): 678-683.

References

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