New solitary wave and periodic wave solutions to the (2 + 1)-dimensional Nizhnik-Novikov-Veselov system

DOI10.1016/j.amc.2006.09.069zbMath1114.65354OpenAlexW1990157117MaRDI QIDQ883992

Abdul-Majid Wazwaz

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.069

zbMATH Keywords

solitonsperiodic wave solutionstanh methodextended tanh methodcosh-sinh methodNizhnik-Novikov-Veselov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Multiple-soliton solutions for the Calogero-Bogoyavlenskii-Schiff, Jimbo-Miwa and YTSF equations, ON THE COMPLEX MIXED DARK-BRIGHT WAVE DISTRIBUTIONS TO SOME CONFORMABLE NONLINEAR INTEGRABLE MODELS, Two kinds of important bifurcation phenomena of nonlinear waves in a generalized Novikov-Veselov equation, Multiple soliton solutions for the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov equation, New periodic and soliton wave solutions for the generalized Zakharov system and \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov system, The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik-Novikov-Veselov system, Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations, The Jacobi elliptic equation method for solving fractional partial differential equations, Exact solutions of some nonlinear systems of partial differential equations by using the first integral method, New solutions of distinct physical structures to high-dimensional nonlinear evolution equations, Exact solutions of two nonlinear partial differential equations by using the first integral method, Explicit exact solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation., New abundant exact solutions for the \((2 + 1)\)-dimensional generalized Nizhnik-Novikov-Veselov system, Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation, Numerical soliton solutions of fractional (2 + 1)-dimensional Nizhnik–Novikov–Veselov equations in nonlinear optics

Cites Work

• Unnamed Item
• Unnamed Item
• Symbolic computations of conserved densities for systems of nonlinear evolution equations
• Compactons in a class of nonlinear dispersive equations.
• Distinct variants of the KdV equation with compact and noncompact structures.
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• Variants of the generalized KdV equation with compact and noncompact structures
• The tanh method for traveling wave solutions of nonlinear equations
• Further improved F-expansion method and new exact solutions of Konopelchenko--Dubrovsky equation
• Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
• On the coherent structures of the Nizhnik-Novikov-Veselov equation
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• The tanh method: II. Perturbation technique for conservative systems
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations