Soliton Solutions; Conservation Laws; Nonlinear Evolution Equations - Articles

An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs) (Articles)

Omolara Fatimah Bakre, Ashiribo Senapon Wusu, Moses Adebowale Akanbi

Journal of Applied Mathematics and Physics Vol.8 No.9, September 3, 2020

DOI: 10.4236/jamp.2020.89130 718 Downloads 1,887 Views Citations
A Comparative Study of Adomian Decomposition Method with Variational Iteration Method for Solving Linear and Nonlinear Differential Equations (Articles)

Sarah Khaled Al Baghdadi, N. Ameer Ahammad

Journal of Applied Mathematics and Physics Vol.12 No.8, August 13, 2024

DOI: 10.4236/jamp.2024.128166 636 Downloads 1,969 Views Citations
Qualitative Analysis of Solutions of a Nonlinear Biomechanical Model (Articles)

Ifeoma D. Omoko, Ayinla A. Abdurasid, Jamiu R. Akewushola, Ola A. Salami

Journal of Applied Mathematics and Physics Vol.12 No.11, November 29, 2024

DOI: 10.4236/jamp.2024.1211242 64 Downloads 514 Views Citations
This article belongs to the Special Issue on Mathematical Physical Model and Method
Dynamical Models in Intrinsic Lyapunov Methods (Articles)

Ifeoma D. Omoko, Oluwabusayo Oni, Taiwo G. Alabi, Muritala B. Taoreed

Journal of Applied Mathematics and Physics Vol.13 No.4, April 23, 2025

DOI: 10.4236/jamp.2025.134073 82 Downloads 487 Views Citations
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM) (Articles)

Samet Y. Kadioglu

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14037 6,359 Downloads 10,648 Views Citations
Construction of Global Weak Entropy Solution of Initial-Boundary Value Problem for Scalar Conservation Laws with Weak Discontinuous Flux (Articles)

Yihong Dai, Jing Zhang

American Journal of Computational Mathematics Vol.7 No.4, December 14, 2017

DOI: 10.4236/ajcm.2017.74033 1,018 Downloads 2,124 Views Citations
Nonlinear Deformation/Strains for 3M Continua and Consistency of Linear Micropolar Theories (Articles)

Karan Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.3, March 26, 2025

DOI: 10.4236/jamp.2025.133049 93 Downloads 501 Views Citations
A Nonlinear Micropolar Continuum Theory for Thermoviscoelastic Solid Medium Based on Classical Rotations (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.16 No.3, March 27, 2025

DOI: 10.4236/am.2025.163012 102 Downloads 489 Views Citations
Thermodynamically and Mathematically Consistent Linear Micromorphic Microcontinuum Theory for Solid Continua (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.10, October 31, 2025

DOI: 10.4236/jamp.2025.1310202 68 Downloads 339 Views Citations
Constitutive Theories for Linear Micromorphic Polymeric Solids (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.11, November 6, 2025

DOI: 10.4236/jamp.2025.1311209 50 Downloads 287 Views Citations
Constitutive Theories for Linear Micromorphic Thermoviscoelastic Solids (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.16 No.11, November 20, 2025

DOI: 10.4236/am.2025.1611042 40 Downloads 295 Views Citations
A Linear Microdilation Microcontinuum Theory for Thermoelastic Solids (Articles)

Karan S. Surana, Michael Poskin

Journal of Applied Mathematics and Physics Vol.13 No.11, November 21, 2025

DOI: 10.4236/jamp.2025.1311226 54 Downloads 261 Views Citations
A Nonlinear Micromorphic Microcontinuum Theory with Nonlinear and Linear Microconstituent Kinematics for Thermoelastic Solids (Articles)

Karan S. Surana, Chuong D. A. Nguyen

Journal of Applied Mathematics and Physics Vol.14 No.3, March 27, 2026

DOI: 10.4236/jamp.2026.143059 56 Downloads 322 Views Citations
Nonlinear Spinor Field Equations in Gravitational Theory: Spherical Symmetric Soliton-Like Solutions (Articles)

V. Adanhounme, A. Adomou, F. P. Codo, M. N. Hounkonnou

Journal of Modern Physics Vol.3 No.9, September 24, 2012

DOI: 10.4236/jmp.2012.39122 3,669 Downloads 6,108 Views Citations
More Compactification for Differential Systems (Articles)

Harry Gingold, Daniel Solomon

Advances in Pure Mathematics Vol.3 No.1A, January 30, 2013

DOI: 10.4236/apm.2013.31A027 7,241 Downloads 11,782 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method (Articles)

Emad H. M. Zahran, Mostafa M. A. Khater

American Journal of Computational Mathematics Vol.4 No.5, December 25, 2014

DOI: 10.4236/ajcm.2014.45038 4,770 Downloads 6,283 Views Citations
High-Order Soliton Solutions and Hybrid Behavior for the (2 + 1)-Dimensional Konopelchenko-Dubrovsky Equations (Articles)

Xingying Li, Yin Ji

Journal of Applied Mathematics and Physics Vol.12 No.7, July 19, 2024

DOI: 10.4236/jamp.2024.127147 116 Downloads 680 Views Citations
Boundary Eigenvalue Problem for Maxwell Equations in a Nonlinear Dielectric Layer (Articles)

Yury G. Smirnov, Dmitry V. Valovik

Applied Mathematics Vol.1 No.1, June 2, 2010

DOI: 10.4236/am.2010.11005 5,817 Downloads 10,554 Views Citations
Runge-Kutta Method and Bolck by Block Method to Solve Nonlinear Fredholm-Volterra Integral Equation with Continuous Kernel (Articles)

A. M. Al-Bugami, J. G. Al-Juaid

Journal of Applied Mathematics and Physics Vol.8 No.9, September 30, 2020

DOI: 10.4236/jamp.2020.89152 853 Downloads 2,452 Views Citations
Nonlinear Propagation of Coupled Pulses in Birefringent Optical Fibers (Articles)

Mathurin Fomekong, Marcelle Nina Zambo Abou’ou, Oriel Loh Ndichia, Jean Roger Bogning

Journal of Applied Mathematics and Physics Vol.13 No.10, October 30, 2025

DOI: 10.4236/jamp.2025.1310194 59 Downloads 347 Views Citations

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