Solitons, Nonlinear Evolution Equation and Inverse Scattering. By M. J. A BLOWITZ and P.A. C LARKSON . Cambridge University Press, 1991. 516 pp. £27.95 or $49.95.

1992 ◽  
Vol 244 (-1) ◽  
pp. 721 ◽  
Author(s):  
R. Grimshaw
Keyword(s):  
Evolution Equation ◽  
Inverse Scattering ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Cambridge University

scholarly journals Lump Solutions, Multi Lump Solutions and More Soliton Solutions of a Novel (2+1)-dimensional Nonlinear Evolution Equation

2021 ◽  
Author(s):  
Hongcai Ma ◽  
Shupan Yue ◽  
Yidan Gao ◽  
Aiping Deng
Keyword(s):  
Evolution Equation ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Three Dimensional ◽  
Soliton Solutions ◽  
Bilinear Method ◽  
Test Function ◽  
Lump Solutions ◽  
Hirota Bilinear ◽  
Test Function Method

Abstract Exact solutions of a new (2+1)-dimensional nonlinear evolution equation are studied. Through the Hirota bilinear method, the test function method and the improved tanh-coth and tah-cot method, with the assisstance of symbolic operations, one can obtain the lump solutions, multi lump solutions and more soliton solutions. Finally, by determining different parameters, we draw the three-dimensional plots and density plots at different times.

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