NEW TYPES OF INTERACTIONS BASED ON VARIABLE SEPARATION SOLUTIONS VIA THE GENERAL PROJECTIVE RICCATI EQUATION METHOD

DOI10.1142/S0129055X07002948zbMath1111.82033OpenAlexW2128143065MaRDI QIDQ3434310

Chao-Qing Dai, Jie-Fang Zhang

Publication date: 25 April 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x07002948

zbMATH Keywords

general projective Riccati equation methodnovel localized coherent structures

Mathematics Subject Classification ID

Related Items (11)

A variety of soliton solutions for the Mikhailov-Novikov-Wang dynamical equation via three analytical methods ⋮ New groups of solutions to the Whitham-Broer-Kaup equation ⋮ Complex waves and their collisions of the breaking soliton model describing hydrodynamics ⋮ Some discussions on variable separation solutions and the corresponding localized structures of nonlinear models ⋮ Combined wave solutions of the \((2+1)\)-dimensional generalized Nizhnik-Novikov-Veselov system ⋮ Be careful with the equivalence of different ansatz of improved tanh-function method for nonlinear models ⋮ Note on same result of different ansätz based on extended tanh-function method for nonlinear models ⋮ Bäcklund transformations and solutions of some generalized nonlinear evolution equations ⋮ Caution with respect to ``new variable separation solutions and their corresponding localized structures ⋮ The novel solitary wave structures and interactions in the \((2+1)\)-dimensional Kortweg-de Vries system ⋮ Be careful with variable separation solutions via the extended tanh-function method and periodic wave structures

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