Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities
DOI10.1016/j.mcm.2010.10.030zbMath1217.35173OpenAlexW2059104606MaRDI QIDQ552131
Publication date: 21 July 2011
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.030
symbolic computationnonlinear Schrödinger equationsolitonsexact solutionstanh methodsine-cosine method\texttt{Maple}
NLS equations (nonlinear Schrödinger equations) (35Q55) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)
Related Items (12)
Uses Software
Cites Work
- The sine-cosine method for obtaining solutions with compact and noncompact structures
- RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
- Rotating solutions of Einstein-Maxwell-dilaton gravity with unusual asymptotics
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Variational iteration method for delay differential equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Compactons in a class of nonlinear dispersive equations.
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- Distinct variants of the KdV equation with compact and noncompact structures.
- Exploratory approach to explicit solution of nonlinear evolution equations
- Modified extended tanh-function method and its applications to nonlinear equations
- A sine-cosine method for handling nonlinear wave equations
- Variants of the generalized KdV equation with compact and noncompact structures
- New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
- Approximate solution of nonlinear differential equations with convolution product nonlinearities
- A study on nonlinear dispersive partial differential equations of compact and noncompact solutions
- Construction of new soliton-like solutions of the (2 + 1) dimensional dispersive long wave equation
- The tanh method for traveling wave solutions of nonlinear equations
- Solitary wave solutions for variant Boussinesq equations
- Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
- The tanh-coth and the sine-cosine methods for kinks, solitons, and periodic solutions for the Pochhammer-Chree equations
- Exact solutions for the fourth order nonlinear Schrödinger equations with cubic and power law nonlinearities
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- New exact travelling wave solutions using modified extended tanh-function method
- Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity
- Extended tanh-function method and its applications to nonlinear equations
- Solitary wave solutions of nonlinear wave equations
- Cusp-like singular soliton solutions of Jaulent–Miodek equation using symbolic computation
- New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method
- A symmetry breaking mechanism for selecting the speed of relativistic solitons
- Shape changing soliton in a site-dependent ferromagnet using tanh-function method
- Perturbations of Solitons and Solitary Waves
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Integrability and soliton in a classical one-dimensional site-dependent biquadratic Heisenberg spin chain and the effect of nonlinear inhomogeneity
- The tanh method: II. Perturbation technique for conservative systems
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- On the integrability of the inhomogeneous spherically symmetric Heisenberg ferromagnet in arbitrary dimensions
- White noise in the two-dimensional nonlinear schrödinger equation
- The variational iteration method for eighth-order initial-boundary value problems
- Modified extended tanh-function method for solving nonlinear partial differential equations
- Modified extended tanh-function method for solving nonlinear partial differential equations
- Variational iteration method for autonomous ordinary differential systems
This page was built for publication: Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities