New exact solutions of a perturbed nonlinear Schrödingers in nonlinear optics
DOI10.1007/s40819-018-0522-xzbMath1401.37093OpenAlexW2800767775WikidataQ129834437 ScholiaQ129834437MaRDI QIDQ1794657
Publication date: 15 October 2018
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-018-0522-x
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Waves and radiation in optics and electromagnetic theory (78A40) Solutions to PDEs in closed form (35C05) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Traveling wave solutions (35C07)
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Cites Work
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- Analytical study of solitons in non-Kerr nonlinear negative-index materials
- One method for finding exact solutions of nonlinear differential equations
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- New periodic wave solutions via Exp-function method
- On the variational iteration method
- Application of Exp-function method for nonlinear evolution equations with variable coefficients
- Analytic method for solitary solutions of some partial differential equations
- New periodic wave solutions via extended mapping method
- Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method
- Further improved F-expansion and new exact solutions for nonlinear evolution equations
- Exp-function method for nonlinear wave equations
- The extended mapping method and its applications for nonlinear evolution equations
- The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation
- Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations
- Periodic wave solutions to a coupled KdV equations with variable coefficients
- New solitons and kinks solutions to the Sharma-Tasso-Olver equation
- Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
- New exact travelling wave solutions of two nonlinear physical models
- The solution of nonlinear coagulation problem with mass loss
- Approximate analytical solution to time fractional nonlinear evolution equations
- ( G ′/ G )-Expansion Method Equivalent to Extended Tanh Function Method
- Modified extended tanh-function method for solving nonlinear partial differential equations
