Research on pulse solutions in nonlinear wave equations reveals insights into wave behavior.
― 6 min read
Latest Articles
Latest Articles
An overview of challenges and techniques in solving nonlinear differential equations.
― 4 min read
New insights into wave dynamics through WKI-SP equations and soliton solutions.
― 5 min read
An overview of the Yang-Baxterization process and its significance in solving models.
― 5 min read
Explore the definition and applications of elliptic orthogonal polynomials.
― 4 min read
Exploring the links of Painlevé equations to conformal field theory and dynamics.
― 5 min read
New method simplifies soliton solution generation for short light pulses.
― 5 min read
A look into the good Boussinesq equation and its wave solutions.
― 3 min read
Learn how to integrate differential equations and their practical applications.
― 5 min read
Exploring the role of the Klein-Gordon equation in particle behavior and wave dynamics.
― 5 min read
Examining how phase fluctuations impact particle interactions in various materials.
― 6 min read
Understanding the interplay of gravity and electromagnetic forces in quark stars.
― 5 min read
This article examines unique solutions of the degenerate third Painlevé equation.
― 6 min read
Polygon equations reveal complex relationships across various fields in mathematics.
― 6 min read
Exploring the significance and applications of the Laplace cascade method in solving equations.
― 5 min read
SID enhances the search for conservation laws in various scientific fields.
― 5 min read
Using deep learning to address challenges in soliton dynamics and nonlinear equations.
― 5 min read
Explore how defects influence soliton behavior in wave dynamics.
― 7 min read
Recent findings on regular solutions in the Yang-Baxter equation advance integrable models.
― 6 min read
A look into the polynomial eigenfunctions of the Nazarov-Sklyanin Lax operator and their implications.
― 6 min read
A look at spin behaviors and interactions using star-square and star-triangle relations.
― 5 min read
Researchers reduce dimensions to clarify complex concepts in quantum mechanics.
― 6 min read
Research reveals connections between scattering amplitudes and geometric structures.
― 5 min read
Exploring the significance and applications of the NLSE in various physics domains.
― 3 min read
An overview of weak noise theory and its role in understanding directed polymers.
― 8 min read
Extending Calogero models to infinite symmetry groups enhances our understanding of physical systems.
― 7 min read
A deep look into integrability through Poisson-Lie groups and higher-dimensional systems.
― 7 min read
Study of hard rods reveals unique behaviors under varying conditions and external forces.
― 5 min read
This study examines how defect particles influence the behavior of normal particles.
― 5 min read
A look into the implications of Sawada-Kotera and Kaup-Kupershmidt equations on wave phenomena.
― 4 min read
A look at how integrable turbulence informs our understanding of nonlinear waves.
― 5 min read
This article examines the behavior of Burgers' equation and its singularities using advanced techniques.
― 4 min read
A look into wave dynamics and soliton solutions in mathematical equations.
― 7 min read
This article examines the Riemann-Hilbert problem and its implications for Painlevé equations.
― 6 min read
Exploring the dynamic behavior of waves through mathematical equations and their implications.
― 4 min read
An overview of integrable operators and their significance in various fields.
― 4 min read
A look into solitary waves and their behavior in shallow water systems.
― 5 min read
This article examines the motion of linkages through the no-slip condition.
― 6 min read
Explore the behavior of dark solitons in optical communication systems.
― 4 min read
Examining complex particle interactions through higher-order Hamiltonians in scattering theory.
― 5 min read
Exploring how randomness affects movement in Beta random walks.
― 6 min read