A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation

Applied Mathematics and Computation

Volumn 123, Issue 2, 2001, Pages 205-217

  Wazwaz, Abdul Majid ^a  

^a SAINT XAVIER UNIVERSITY   (United States)

Author keywords

Adomian decomposition method; Kadomtsev Petviashvili equation; Nonlinear evolution equation; Soliton

Indexed keywords

COMPUTATIONAL METHODS; NONLINEAR EQUATIONS;

ADOMAIN DECOMPOSITION METHOD; KADOMTSEV-PETVIASHVILI EQUATION; NONLINEAR EVOLUTION EQUATIONS;

SOLITONS;

EID: 0035949881     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(00)00065-5     Document Type: Article

References (15)

1. Direct methods in soliton theory
2. Soliton solutions of non-linear evolution equations
3. Soliton interactions in two dimensions
4. On the stability of solitary waves in weakly dispersive media
5. An explicit finite difference scheme for the solution of Kadomtsev-Petviashvili
6. The Kadomtsev-Petviashvili equation: An alternative approach to the rank two solutions of Krichever and Notikov
7. Holomorphic bundles over algebraic curves and nonlinear equations
8. Solutions of the KP equation associated to rank-three commuting differential operators over a singular elliptic curve
9. A review of the decomposition method in applied mathematics
10. A new algorithm for calculating Adomian polynomials for nonlinear operators