Journal
PHYSICS LETTERS A
Volume 356, Issue 2, Pages 119-123Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.03.027
Keywords
the modified extended Fan sub-equation method; soliton-like solutions; triangular-like solutions; Jacobi elliptic wave function-like solutions; Weierstrass elliptic doubly-like periodic solutions
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A further improved extended Fan sub-equation method is proposed to seek more types of exact solutions of non-linear partial differential equations. Applying this method to the (3 + 1)-dimensional Kadomstev-Petviashvili equation, we obtain many new and more general non-travelling wave solutions including soliton-like solutions, triangular-like solutions, single and combined non-degenerate Jacobi elliptic wave function-like solutions, Weierstrass elliptic doubly-like periodic solutions. (c) 2006 Elsevier B.V. All rights reserved.
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