Stepanyants, Y. A. and Ten, I. K. and Tomita, H. (2006) Lump solutions of 2D generalized Gardner equation. In: Conference on Nonlinear Science and Complexity, 7-12 Aug 2006, Beijing, China.
Results of numerical study of lump solutions (2D solitons)of a generalised 2D Gardner equation are presented. To construct such solutions, the Petviashvili is further developed for the evolution equations with the non-power linearity. Solution obtained for different relationships between quadratic and cubic nonlinearity as well as between small-and large-scale dispersions () are compared with the known lump solution for the classical Kadomtsev-Petviashvili equation with positive dispersion. The structure of constructed solutions is analysed in terms of two dimensionless parameters characterising the cubic nonlinearity and large-scale dispersion.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||Author version not held.|
|Uncontrolled Keywords:||non-linear waves; soliton; lumps; Petviashvili method; numerical study; Gardner equation|
|Subjects:||240000 Physical Sciences > 240500 Classical Physics > 240501 Acoustics and Acoustical Devices; Waves
230000 Mathematical Sciences > 239900 Other Mathematical Sciences > 239999 Mathematical Sciences not elsewhere classified
230000 Mathematical Sciences > 230100 Mathematics > 230107 Differential, Difference and Integral Equations
|Depositing User:||Assoc Prof Yury Stepanyants|
|Date Deposited:||25 May 2010 13:08|
|Last Modified:||02 Jul 2013 23:24|
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