Explicit Exact Solitary Wave Solutions for the Kundu Equation and the Derivative Schrödinger Equation

DOI10.1238/Physica.Regular.064a00007zbMath1064.35184MaRDI QIDQ4656286

Xiao-Hui Wang, Zhao-sheng Feng

Publication date: 11 March 2005

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/22312

zbMATH Keywords

algebraic curve methodexplicit exact solitary solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items (11)

The first integral method for constructing exact and explicit solutions to nonlinear evolution equations ⋮ Riemann-Hilbert problem associated with the fourth-order dispersive nonlinear Schrödinger equation in optics and magnetic mechanics ⋮ On the Riemann-Hilbert problem of the Kundu equation ⋮ On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation ⋮ Analysis of fractional Kundu-Eckhaus and massive Thirring equations using a hybridization scheme ⋮ Traveling solitary wave solutions to evolution equations with nonlinear terms of any order ⋮ New exact solutions of nonlinear fractional acoustic wave equations in ultrasound ⋮ On the evolution of a rogue wave along the orthogonal direction of the \((t,x)\)-plane ⋮ Exact and explicit solutions to nonlinear evolution equations using the division theorem ⋮ N-soliton solutions of the coupled Kundu equations based on the Riemann-Hilbert method ⋮ Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles

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