Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

Sevil Çulha Ünal

Makale detayları

Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

Yazarlar:

Sevil Çulha Ünal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 2, pp.197-209

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001353232

pISSN:

2757-5195

Anahtar kelimeler:

Özet:

 In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional nonlinear dispersive modified Benjamin-Bona-Mahony equation with a conformable derivative. These solutions, obtained using the proposed approach, are presented in specialized generalized hyperbolic and trigonometric forms. The soliton solutions are also obtained using the presented approach. Additionally, some of these solutions are illustrated in both two- and three-dimensional graphs for visualization. Finally, the suggested approach is novel, easy, and productive for obtaining analytic solutions and is applicable to numerous nonlinear fractional partial differential equations.

 In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional nonlinear dispersive modified Benjamin-Bona-Mahony equation with a conformable derivative. These solutions, obtained using the proposed approach, are presented in specialized generalized hyperbolic and trigonometric forms. The soliton solutions are also obtained using the presented approach. Additionally, some of these solutions are illustrated in both two- and three-dimensional graphs for visualization. Finally, the suggested approach is novel, easy, and productive for obtaining analytic solutions and is applicable to numerous nonlinear fractional partial differential equations.

 In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional nonlinear dispersive modified Benjamin-Bona-Mahony equation with a conformable derivative. These solutions, obtained using the proposed approach, are presented in specialized generalized hyperbolic and trigonometric forms. The soliton solutions are also obtained using the presented approach. Additionally, some of these solutions are illustrated in both two- and three-dimensional graphs for visualization. Finally, the suggested approach is novel, easy, and productive for obtaining analytic solutions and is applicable to numerous nonlinear fractional partial differential equations.

 In mathematical physics, the nonlinear dispersive modified Benjamin-Bono-Mahony equation is an essential nonlinear evolution equation. This paper employs the Sardar sub-equation approach to derive the analytic solutions of the space-time fractional nonlinear dispersive modified Benjamin-Bona-Mahony equation with a conformable derivative. These solutions, obtained using the proposed approach, are presented in specialized generalized hyperbolic and trigonometric forms. The soliton solutions are also obtained using the presented approach. Additionally, some of these solutions are illustrated in both two- and three-dimensional graphs for visualization. Finally, the suggested approach is novel, easy, and productive for obtaining analytic solutions and is applicable to numerous nonlinear fractional partial differential equations.

Makale detayları

Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

Yazarlar:

Sevil Çulha Ünal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 2, pp.197-209

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001353232

pISSN:

2757-5195

Sardar sub-equation approach

fractional NDMBBM equation

soliton solutions

special generalized trigonometric and hyperbolic functions

Sayı

Makale detayları

Special Generalized Trigonometric and Hyperbolic Function Solutions of the Space-Time Fractional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation

Yazarlar: Sevil Çulha Ünal

Yayıncı: Çanakkale Onsekiz Mart University

Ana Başlıklar: Mathematical Methods and Special Functions

Dergi: Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 2, pp.197-209

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001353232

pISSN: 2757-5195

Sardar sub-equation approach

fractional NDMBBM equation

soliton solutions

special generalized trigonometric and hyperbolic functions

Sayı

Yazarlar:

Sevil Çulha Ünal

Yayıncı:

Çanakkale Onsekiz Mart University

Ana Başlıklar:

Mathematical Methods and Special Functions

Dergi:

Journal of Advanced Research in Natural and Applied Sciences Vol.11 Issue 2, pp.197-209

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001353232

pISSN:

2757-5195