Examining how waves form and evolve in complex mathematical models.
― 7 min read
This article explores the significance of spin chains and their properties.
― 6 min read
Exploring the characteristics and methods for solving the Painlevé III equation.
― 6 min read
This article studies how nonlocal bright solitons behave in dynamic environments.
― 5 min read
Exploring species interactions and economic parallels through the Volterra model.
― 6 min read
Examining the Kaup–Kupershmidt equations and their unique soliton solutions.
― 4 min read
This article examines breather gas fission in nonlinear wave systems and its implications.
― 6 min read
Exploring new deformations of the principal chiral model using auxiliary fields.
― 4 min read
Exploring the significance of Legendre transformations in WDVV equations for new solutions.
― 4 min read
Investigating how light and materials interact shapes future technology.
― 5 min read
Exploring the complexities of many-body systems and their dynamics.
― 5 min read
A look at the Gardner equation's role in wave phenomena across various fields.
― 6 min read
A look into integrable systems and their importance across various fields.
― 6 min read
Examining integrable models and their significance in physics, especially string theory.
― 6 min read
Solitons maintain their shape over distance, making them valuable in various technologies.
― 5 min read
Exploring the link between Toda lattice dynamics and minimal surfaces in mathematics.
― 6 min read
Examining quantum phase transitions and their impact on particle behavior.
― 6 min read
Exploring solitons and their role in four-dimensional Wess-Zumino-Witten models.
― 5 min read
A look into Somos-5 sequences and their properties with dual numbers.
― 5 min read
Explore pseudospherical surfaces, their equations, solutions, and significant mathematical properties.
― 5 min read
Exploring the complexities of nonlinear equations and their real-world applications.
― 5 min read
A clear look at wave behavior through mathematical modeling and solution methods.
― 5 min read
This article examines the cKdV equation and its role in modeling radial waves.
― 4 min read
A look into the stability properties of standing waves in quantum physics.
― 5 min read
Exploring the dynamics of solitons and other solutions in wave systems.
― 4 min read
Exploring the role of auxiliary fields in sigma models and their implications.
― 6 min read
An overview of ring patterns and their unique properties in geometry.
― 4 min read
Exploring behavior of particles in many-body systems through density of states.
― 5 min read
Exploring methods for finding exact solutions to complex scientific equations.
― 5 min read
An overview of kink solutions in field theories and their significance.
― 5 min read
A look into the KdV equation and its implications for wave behavior.
― 5 min read
A look at how mathematical methods help predict material behavior under stress.
― 5 min read
Examining how boundary magnetic fields influence quantum spin systems.
― 6 min read
A look into soliton gas solutions and their impact on nonlinear waves.
― 5 min read
An overview of the interplay between integrable Landau-Zener models and KZ equations in quantum mechanics.
― 6 min read
An overview of Toda and Calogero models in field theory.
― 6 min read
Discover the playful world of kinks and lattices in physics.
― 8 min read
Exploring Bethe Ansatz and its impact on quantum computing and spin systems.
― 5 min read
Discover how complex theories translate into simpler dimensions.
― 7 min read
Scientists investigate fluid patterns, revealing new insights beyond traditional beliefs.
― 6 min read