This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 1719, 2022. Works contained in this volume cover topics like nonlinear differential equations, integrable systems, Hamiltonian systems, inverse scattering transform, Painleve's analysis, nonlinear wave phenomena and applications, numerical methods of nonlinear wave equations, quantum integrable systems, and more. In this book, researchers and graduate students in mathematics and related areas will find new methods and tools that only recently have been developed to solve nonlinear problems.

The sixth edition of the NMMP workshop was organized by Florida A&M University in Tallahassee, Florida, USA, with support from the University of South Florida, Florida State University, Embry-Riddle Aeronautical University, Savannah State University, Prairie View A&M University, and Beijing Jiaotong University. The aim was to bring together researchers from around the world to present their findings and foster collaboration for future research.

Gathers papers on new methods and tools recently developed to solve nonlinear problems Covers topics such as nonlinear differential equations, integrable systems, nonlinear wave phenomena, and numerical methods Of use for researchers and graduate students in mathematical physics

Inhalt

1. A Hamiltonian set-up for 4-layer density stratified Euler fluids.- 2. Long wave propagation in canals with spatially varying cross-sections and currents.- 3. Factorization conditions for nonlinear second-order differential equations.- 4. Symbolic computation of solitary wave solutions and solitons through homogenization of degree.- 5. Propagation of bright solitons for KdV-type equations involving triplet dispersion.- 6. A natural full-discretization of the Korteweg-de-Vries equation.- 7. Damped nonlinear Schrodinger equation with Stark effect.- 8. Effect of electron's drift velocity in nonlinear ion-acoustic solitons in a negative ion beam plasma.- 9. Darboux Transformation and Exact Solution for Novikov equation.- 10. Construction of multi-wave solutions of nonlinear equations with variable coefficients arising in fluid mechanics.- 12. Multiple lump and rogue wave solutions of a modified Benjamin-Ono equation 23.- 13. On the inclination of a parametric curve.- 14. Localized waves on the periodic background for the derivative nonlinear Schr¨odinger equation.- 15. lp solution to the initial value problem of the discrete nonlinear Schr¨odinger equation with complex potential.- 16. Darboux transformations for bi-integrable couplings of the AKNS system.