4.5 Article

Bright and dark optical solitons for (3+1)-dimensional hyperbolic nonlinear Schrodinger equation using a variety of distinct schemes

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

Novel approximate analytical and numerical cylindrical rogue wave and breathers solutions: An application to electronegative plasma

S. A. El-Tantawy et al.

Summary: This study investigates the cylindrical rogue wave and breathers in a collisionless, unmagnetized, and warm pair-ion plasma. The fluid equations of the plasma model are reduced to a cylindrical nonlinear Schrodinger equation using the derivative expansion technique. Analytical and numerical solutions to the CNLSE are obtained and compared. The study provides insights into the propagation mechanism of cylindrical waves in fields such as plasma physics, fluid mechanics, optical fiber, and nonlinear optics.

CHAOS SOLITONS & FRACTALS (2022)

Article Optics

Bright and dark optical solitons of the (2+1)-dimensional perturbed nonlinear Schrodinger equation in nonlinear optical fibers

Abdul-Majid Wazwaz

Summary: This study investigates an extended (2+1)-dimensional perturbed nonlinear Schrodinger equation with Kerr law nonlinearity in a nano optical fiber. The inclusion of fourth-order spatial derivatives allows for the study of nonlinearity and spatial dispersion effects in the x and y directions. Optical soliton solutions of various types, such as bright solitons and dark solitons, are extracted using useful soliton ansatzes, demonstrating the capability of identifying exact solutions for nonlinear evolution equations in different fields.

OPTIK (2022)

Article Optics

Bright and dark optical solitons for (3+1)-dimensional Schrodinger equation with cubic-quintic-septic nonlinearities

Abdul-Majid Wazwaz

Summary: This study addresses soliton propagation in a sixth-order nonlinear Schrodinger equation with fourth-order and sixth-order dispersive terms influenced by cubic-quintic-septic nonlinearities. Bright and dark optical soliton solutions are formally derived, with constraints on parameters for determining these solutions. Other ansatze are employed to determine additional singular and periodic solutions. The findings could enhance understanding of wave dynamics in cubic-quintic-septic nonlinear materials such as chalcogenide glass.

OPTIK (2021)

Article Optics

Higher-order Sasa-Satsuma equation: Bright and dark optical solitons

Abdul-Majid Wazwaz et al.

Summary: This work introduces a generalized nonlinear Sasa-Satsuma equation with bright and dark optical soliton solutions, as well as other singular and exponential solutions of different structures.

OPTIK (2021)

Article Optics

A variety of bright and dark optical soliton solutions of an extended higher-order Sasa-Satsuma equation

Abdul-Majid Wazwaz et al.

Summary: In this study, we investigated an extended nonlinear Sasa-Satsuma equation including fourth-order spatial derivatives to cover the effect of perturbations. The study focused on examining the influence of nonlinearity and spatial dispersions in spatial directions, and formally derived various optical soliton solutions. Useful techniques were employed to retrieve a variety of optical soliton solutions, including bright, dark, exponential, singular, and rational solutions.

OPTIK (2021)

Article Multidisciplinary Sciences

Electron-Acoustic (Un)Modulated Structures in a Plasma Having (r, q)-Distributed Electrons: Solitons, Super Rogue Waves, and Breathers

Wedad Albalawi et al.

Summary: This study investigates the propagation of electron-acoustic waves in an unmagnetized plasma, discussing both unmodulated and modulated structures such as solitary waves, rogue waves, and breathers. The Sagdeev potential approach and nonlinear Schrodinger equation are employed to study the characteristics of these waves, including their modulated solutions. Plasma parameters, particularly spectral indices r and q, are examined in detail to understand the behavior of electron acoustic waves in different distribution functions.

SYMMETRY-BASEL (2021)

Article Optics

Two (3+1)-dimensional Schrodinger equations with cubic-quintic-septic nonlinearities: Bright and dark optical solitons

Abdul-Majid Wazwaz et al.

Summary: This work introduces two new sixth-order (3+1)-dimensional nonlinear Schrödinger equations with higher-order dispersive terms influenced by cubic-quintic-septic (CQS) nonlinearities. Bright and dark optical soliton solutions are formally retrieved for each model, along with certain constraints on parameters. Additionally, other solutions of distinct structures, such as singular solutions, are formally determined.

OPTIK (2021)

Article Mathematics, Applied

The (2+1)-dimensional hyperbolic nonlinear Schrodinger equation and its optical solitons

Umitru Baleanu et al.

Summary: In this paper, a comprehensive study is conducted on the (2+1)-dimensional hyperbolic nonlinear Schrodinger equation in optics, focusing on optical solitons and their dynamics. By reducing the equation to a one-dimensional nonlinear ordinary differential equation in the real regime, optical solitons are formally obtained through established methods. The study reveals new optical solitons and categorizes them as bright and dark solitons.

AIMS MATHEMATICS (2021)

Article Materials Science, Multidisciplinary

Optical solutions of the (2

Eric Tala-Tebue et al.

RESULTS IN PHYSICS (2020)

Review Physics, Multidisciplinary

Models of few optical cycle solitons beyond the slowly varying envelope approximation

H. Leblond et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2013)

Article Physics, Fluids & Plasmas

Reorientational versus Kerr dark and gray solitary waves using modulation theory

Gaetano Assanto et al.

PHYSICAL REVIEW E (2011)

Article Mathematics, Applied

Bright and dark solitons of the generalized nonlinear Schrodinger's equation

Anjan Biswas et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2010)

Article Multidisciplinary Sciences

Formation and propagation of matter-wave soliton trains

KE Strecker et al.

NATURE (2002)