Existence of isolated periodic waves of a family of PDEs with cubic reaction term
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909572164222976 |
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| author | Patra, Krishna Rao, Ch. Srinivasa |
| author_facet | Patra, Krishna Rao, Ch. Srinivasa |
| contents | In this paper we study the isolated periodic traveling wave solutions of a family of reaction-convection-diffusion equations with cubic reaction term. Existence/nonexistence of periodic traveling wave solutions are discussed in different parametric ranges. The monotonicity of the ratio of Abelian integrals is used to prove the existence of at most one limit cycle. Finally, numerical study is presented at the end. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06565 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Existence of isolated periodic waves of a family of PDEs with cubic reaction term Patra, Krishna Rao, Ch. Srinivasa Analysis of PDEs 34C05, 34C07, 34C08, 35C07, 37G15 In this paper we study the isolated periodic traveling wave solutions of a family of reaction-convection-diffusion equations with cubic reaction term. Existence/nonexistence of periodic traveling wave solutions are discussed in different parametric ranges. The monotonicity of the ratio of Abelian integrals is used to prove the existence of at most one limit cycle. Finally, numerical study is presented at the end. |
| title | Existence of isolated periodic waves of a family of PDEs with cubic reaction term |
| topic | Analysis of PDEs 34C05, 34C07, 34C08, 35C07, 37G15 |
| url | https://arxiv.org/abs/2504.06565 |