# Nonlinear Waves and Solitons

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/nonlinear-waves-and-solitons/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers focuses on the study of rogue waves in nonlinear systems, including their generation, dynamics, and properties. It explores various mathematical and physical aspects such as soliton solutions, integrable equations, modulation instability, and optical solitons in the context of rogue wave phenomena. |
| Domain | Physical Sciences |
| Field | Physics and Astronomy |
| OpenAlex ID | t10248 |
| Works | 14 |

## Topic papers all

- [Localized states in discrete nonlinear Schrödinger equations](https://scholariq.org/papers/localized-states-in-discrete-nonlinear-schrodinger-equations/)
- [Spatiotemporal deformation of lump solution to (2+1)-dimensional KdV equation](https://scholariq.org/papers/spatiotemporal-deformation-of-lump-solution-to-2-1-dimensional-kdv-equation/)
- [Some solutions to the space fractional Schrödinger equation using momentum representation method](https://scholariq.org/papers/some-solutions-to-the-space-fractional-schrodinger-equation-using-momentum/)
- [Perturbation theories of a discrete, integrable nonlinear Schrödinger equation](https://scholariq.org/papers/perturbation-theories-of-a-discrete-integrable-nonlinear-schrodinger-equation/)
- [Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation](https://scholariq.org/papers/interaction-between-kink-solitary-wave-and-rogue-wave-for-2-1-dimensional/)
- [Approximate analytical solution for the fractional modified KdV by differential transform method](https://scholariq.org/papers/approximate-analytical-solution-for-the-fractional-modified-kdv-by-differential/)
- [Lump solution and integrability for the associated Hirota bilinear equation](https://scholariq.org/papers/lump-solution-and-integrability-for-the-associated-hirota-bilinear-equation/)
- [State transition of lump-type waves for the (2+1)-dimensional generalized KdV equation](https://scholariq.org/papers/state-transition-of-lump-type-waves-for-the-2-1-dimensional-generalized-kdv/)
- [Renormalized Waves and Discrete Breathers in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>-Fermi-Pasta-Ulam Chains](https://scholariq.org/papers/renormalized-waves-and-discrete-breathers-in-mml-math-xmlns-mml-http-www-w3-org/)
- [Exact three-wave solution for higher dimensional KdV-type equation](https://scholariq.org/papers/exact-three-wave-solution-for-higher-dimensional-kdv-type-equation/)
- [Exact travelling wave solutionsof some nonlinear evolutionary equations](https://scholariq.org/papers/exact-travelling-wave-solutionsof-some-nonlinear-evolutionary-equations/)
- [Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method](https://scholariq.org/papers/approximate-analytic-solutions-of-the-modified-kawahara-equation-with-homotopy/)
- [Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation](https://scholariq.org/papers/variational-iteration-method-for-solving-the-generalized-degasperis-procesi/)
- [Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation](https://scholariq.org/papers/global-well-posedness-of-the-energy-critical-stochastic-hartree-nonlinear-wave-2/)

## Topic primary papers

- [Spatiotemporal deformation of lump solution to (2+1)-dimensional KdV equation](https://scholariq.org/papers/spatiotemporal-deformation-of-lump-solution-to-2-1-dimensional-kdv-equation/)
- [Interaction Between Kink Solitary Wave and Rogue Wave for (2+1)-Dimensional Burgers Equation](https://scholariq.org/papers/interaction-between-kink-solitary-wave-and-rogue-wave-for-2-1-dimensional/)
- [Lump solution and integrability for the associated Hirota bilinear equation](https://scholariq.org/papers/lump-solution-and-integrability-for-the-associated-hirota-bilinear-equation/)
- [State transition of lump-type waves for the (2+1)-dimensional generalized KdV equation](https://scholariq.org/papers/state-transition-of-lump-type-waves-for-the-2-1-dimensional-generalized-kdv/)
- [Exact three-wave solution for higher dimensional KdV-type equation](https://scholariq.org/papers/exact-three-wave-solution-for-higher-dimensional-kdv-type-equation/)
- [Exact travelling wave solutionsof some nonlinear evolutionary equations](https://scholariq.org/papers/exact-travelling-wave-solutionsof-some-nonlinear-evolutionary-equations/)

---
Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.